[ { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 9 solar masses, a radius of 68 kilometers, and an accretion rate of 0.2 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.13e+38 J\nB. 6.83e+38 J\nC. 5.81e+38 J\nD. 2.49e+38 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 8 solar masses, a radius of 40 kilometers, and an accretion rate of 0.5 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.63e+38 J\nB. 7.71e+38 J\nC. 1.02e+39 J\nD. 8.77e+38 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 2 solar masses, a radius of 39 kilometers, and an accretion rate of 0.6 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.86e+38 J\nB. 5.15e+38 J\nC. 2.55e+38 J\nD. 2.68e+38 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 3 solar masses, a radius of 49 kilometers, and an accretion rate of 0.6 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.91e+38 J\nB. 6.2e+38 J\nC. 3.23e+38 J\nD. 3.29e+38 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 8 solar masses, a radius of 34 kilometers, and an accretion rate of 0.7 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.75e+38 J\nB. 1.77e+39 J\nC. 9.84e+38 J\nD. 8.45e+38 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 3 solar masses, a radius of 97 kilometers, and an accretion rate of 0.0 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.55e+38 J\nB. 1.41e+38 J\nC. 0.00e+00 J\nD. 4.77e+38 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 4 solar masses, a radius of 43 kilometers, and an accretion rate of 0.9 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.87e+38 J\nB. 1.54e+38 J\nC. 7.57e+38 J\nD. 3.07e+38 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 1 solar masses, a radius of 79 kilometers, and an accretion rate of 0.8 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.33e+38 J\nB. 7.25e+38 J\nC. 5.33e+38 J\nD. 8.55e+37 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 7 solar masses, a radius of 23 kilometers, and an accretion rate of 0.5 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.93e+39 J\nB. 9.29e+38 J\nC. 1.3e+38 J\nD. 9.59e+38 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the total energy released in the accretion disk of a black hole with a mass of 7 solar masses, a radius of 21 kilometers, and an accretion rate of 0.2 solar masses per year. Assume the disk is made of gas that is 10% hydrogen and 90% helium and has a temperature of 10 million Kelvin. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.83e+38 J\nB. 9.88e+38 J\nC. 6.04e+38 J\nD. 4.45e+38 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 35850 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.07e+08 years\nB. 7.5e+08 years\nC. 3.54e+08 years\nD. 4.07e+08 years\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 41149 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.01e+08 years\nB. 5.28e+08 years\nC. 2.27e+08 years\nD. 3.53e+08 years\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 73167 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.27e+08 years\nB. 3.06e+08 years\nC. 7.22e+08 years\nD. 5.95e+08 years\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 64866 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.97e+08 years\nB. 5.56e+08 years\nC. 7.23e+08 years\nD. 4.34e+08 years\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 28603 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.97e+08 years\nB. 3.55e+08 years\nC. 2.45e+08 years\nD. 6.07e+08 years\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 62159 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.33e+08 years\nB. 9.77e+08 years\nC. 7.15e+08 years\nD. 4.26e+08 years\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 77122 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.61e+08 years\nB. 4.97e+08 years\nC. 1.7e+08 years\nD. 4.1e+08 years\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 79540 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.35e+08 years\nB. 8.34e+08 years\nC. 6.81e+08 years\nD. 7.33e+08 years\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 15866 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.17e+08 years\nB. 1.36e+08 years\nC. 4.4e+08 years\nD. 1.44e+08 years\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the rotational period of the Milky Way's galactic halo, given its average radius of 48038 light-years? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.52e+08 years\nB. 3.71e+08 years\nC. 8.52e+08 years\nD. 4.12e+08 years\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 2 solar masses in order to orbit the black hole with a period of 3 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.12e+10 m\nB. 2.61e+10 m\nC. 2.94e+10 m\nD. 8.79e+09 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 4 solar masses in order to orbit the black hole with a period of 5 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.27e+10 m\nB. 1.46e+10 m\nC. 9.51e+10 m\nD. 8.78e+10 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 9 solar masses in order to orbit the black hole with a period of 1 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.31e+09 m\nB. 1.94e+10 m\nC. 3.85e+10 m\nD. 6.98e+10 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 7 solar masses in order to orbit the black hole with a period of 1 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.86e+09 m\nB. 4.36e+10 m\nC. 7.45e+10 m\nD. 3.7e+10 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 7 solar masses in order to orbit the black hole with a period of 8 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.05e+10 m\nB. 3.18e+10 m\nC. 7.59e+10 m\nD. 2.34e+10 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 2 solar masses in order to orbit the black hole with a period of 2 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.12e+10 m\nB. 6.71e+09 m\nC. 5.51e+10 m\nD. 8.11e+10 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 3 solar masses in order to orbit the black hole with a period of 5 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.98e+10 m\nB. 8.32e+10 m\nC. 8.77e+10 m\nD. 1.36e+10 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 1 solar masses in order to orbit the black hole with a period of 1 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.29e+10 m\nB. 4.43e+10 m\nC. 3.3e+10 m\nD. 3.69e+09 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 2 solar masses in order to orbit the black hole with a period of 6 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.56e+10 m\nB. 2.57e+10 m\nC. 1.39e+10 m\nD. 8.43e+10 m\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the distance that a star must be from a black hole of 2 solar masses in order to orbit the black hole with a period of 3 day? How does the accretion disk around the black hole affect the star's orbit? Please note that the following content involves constants might be used in the calculations : \\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.79e+09 m\nB. 3.5e+10 m\nC. 5.14e+10 m\nD. 7.87e+10 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 210^28 cm^2/s and a magnetic field strength of 7 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.39e+14 eV\nB. 5.4e+14 eV\nC. 8.27e+14 eV\nD. 6.67e+13 eV\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 710^28 cm^2/s and a magnetic field strength of 6 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.22e+14 eV\nB. 2.33e+14 eV\nC. 4.95e+14 eV\nD. 10.0e+14 eV\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 910^28 cm^2/s and a magnetic field strength of 1 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.73e+14 eV\nB. 3.00e+14 eV\nC. 6.87e+14 eV\nD. 3.85e+14 eV\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 410^28 cm^2/s and a magnetic field strength of 8 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.33e+14 eV\nB. 5.37e+14 eV\nC. 2.02e+14 eV\nD. 8.15e+14 eV\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 210^28 cm^2/s and a magnetic field strength of 1 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.6e+14 eV\nB. 1.56e+14 eV\nC. 6.67e+13 eV\nD. 2.16e+14 eV\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 910^28 cm^2/s and a magnetic field strength of 5 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.16e+14 eV\nB. 3.00e+14 eV\nC. 3.0e+14 eV\nD. 3.81e+14 eV\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 610^28 cm^2/s and a magnetic field strength of 6 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.45e+14 eV\nB. 2.24e+14 eV\nC. 3.74e+14 eV\nD. 2.00e+14 eV\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 510^28 cm^2/s and a magnetic field strength of 5 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.15e+14 eV\nB. 3.1e+14 eV\nC. 1.11e+14 eV\nD. 1.67e+14 eV\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 810^28 cm^2/s and a magnetic field strength of 2 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.57e+14 eV\nB. 2.24e+14 eV\nC. 2.67e+14 eV\nD. 5.0e+14 eV\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum energy that a cosmic ray proton can attain while propagating through the interstellar medium, assuming a diffusion coefficient of 210^28 cm^2/s and a magnetic field strength of 1 microgauss? How does this maximum energy change if the diffusion coefficient increases by a factor of 10? Please note that the following content involves constants might be used in the calculations : elementary charge :e = 1.6e-19 C ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.42e+14 eV\nB. 4.57e+14 eV\nC. 8.25e+14 eV\nD. 6.67e+13 eV\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 2 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 698 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.88e-03 m/s^2\nB. 3.14e-03 m/s^2\nC. 6.15e-03 m/s^2\nD. 1.43e-03 m/s^2\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 4 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 900 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.02e-03 m/s^2\nB. 5.69e-03 m/s^2\nC. 7.87e-03 m/s^2\nD. 2.99e-03 m/s^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 1 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 224 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.02e-03 m/s^2\nB. 4.94e-03 m/s^2\nC. 9.08e-03 m/s^2\nD. 1.12e-03 m/s^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 7 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 997 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.51e-03 m/s^2\nB. 3.96e-03 m/s^2\nC. 1.28e-03 m/s^2\nD. 3.64e-03 m/s^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 4 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 411 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.03e-03 m/s^2\nB. 2.84e-03 m/s^2\nC. 9.25e-04 m/s^2\nD. 8.29e-03 m/s^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 6 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 299 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.21e-03 m/s^2\nB. 1.42e-03 m/s^2\nC. 4.48e-04 m/s^2\nD. 9.29e-03 m/s^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 5 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 173 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.91e-03 m/s^2\nB. 1.39e-03 m/s^2\nC. 1.32e-03 m/s^2\nD. 3.11e-04 m/s^2\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 7 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 260 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.34e-04 m/s^2\nB. 9.57e-03 m/s^2\nC. 9.48e-03 m/s^2\nD. 2.29e-03 m/s^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 7 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 605 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.17e-03 m/s^2\nB. 5.07e-03 m/s^2\nC. 7.78e-04 m/s^2\nD. 7.61e-03 m/s^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Sure, here's a question that a physics student can solve related to Cosmic ray propagation and acceleration:\n\nWhat acceleration is required to generate a cosmic ray particle with an energy of 4 TeV, assuming it originates from a supernova remnant shock wave with a magnetic field of 836 microgauss? Please note that the following content involves constants might be used in the calculations : elementary charge : e = 1.6e-19 C ; velocity of light : c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.72e-03 m/s^2\nB. 1.56e-03 m/s^2\nC. 1.99e-03 m/s^2\nD. 1.88e-03 m/s^2\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 4.9 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5394.9 kelvin\nB. 9921.4 kelvin\nC. 8831.4 kelvin\nD. 7694.6 kelvin\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 9.0 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3148.4 kelvin\nB. 9909.0 kelvin\nC. 2212.2 kelvin\nD. 6325.6 kelvin\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 1.9 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4761.2 kelvin\nB. 2091.9 kelvin\nC. 1243.2 kelvin\nD. 5655.5 kelvin\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 1.5 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3818.9 kelvin\nB. 9231.3 kelvin\nC. 3766.4 kelvin\nD. 1651.5 kelvin\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 5.9 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3541.2 kelvin\nB. 6102.6 kelvin\nC. 8756.5 kelvin\nD. 6495.9 kelvin\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 6.3 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3931.9 kelvin\nB. 4523.6 kelvin\nC. 3749.1 kelvin\nD. 6936.3 kelvin\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 6.9 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1232.9 kelvin\nB. 6646.6 kelvin\nC. 7596.9 kelvin\nD. 2472.7 kelvin\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 9.7 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 10679.7 kelvin\nB. 9202.4 kelvin\nC. 5734.1 kelvin\nD. 2758.4 kelvin\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 6.6 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8609.1 kelvin\nB. 1511.1 kelvin\nC. 7266.6 kelvin\nD. 1944.3 kelvin\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe at an age of 380,000 years after the Big Bang, given that the cosmic microwave background radiation has a present-day temperature of approximately 7.8 Kelvin. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8587.8 kelvin\nB. 6207.9 kelvin\nC. 7305.2 kelvin\nD. 9168.1 kelvin\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (5.4solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.0e+48 J\nB. 1.89e+48 J\nC. 9.68e+48 J\nD. 9.67e+47 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (9.9solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.53e+48 J\nB. 3.6e+48 J\nC. 9.38e+48 J\nD. 1.77e+48 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (7.7solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.67e+48 J\nB. 1.38e+48 J\nC. 7.82e+48 J\nD. 5.74e+48 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (7.9solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.98e+48 J\nB. 1.41e+48 J\nC. 8.07e+48 J\nD. 3.28e+48 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (4.5solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.01e+48 J\nB. 8.06e+47 J\nC. 3.48e+48 J\nD. 8.98e+48 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (4.8solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.59e+47 J\nB. 5.87e+48 J\nC. 1.25e+48 J\nD. 2.61e+48 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (2.5solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.48e+47 J\nB. 9.68e+48 J\nC. 5.19e+48 J\nD. 5.8e+48 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (4.2solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.35e+48 J\nB. 6.14e+48 J\nC. 8.58e+48 J\nD. 7.52e+47 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (2.1solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.97e+48 J\nB. 8.15e+48 J\nC. 7.08e+48 J\nD. 3.76e+47 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the kinetic energy released in a type Ia supernova explosion, assuming the entire mass of a white dwarf star (1.8solar masses) is converted into energy? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.71e+48 J\nB. 3.68e+48 J\nC. 3.22e+47 J\nD. 6.87e+48 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 1.5 solar masses, assuming an initial mass of 33 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.05e+48 J\nB. 5.64e+48 J\nC. 4.01e+48 J\nD. 7.6e+48 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 1.6 solar masses, assuming an initial mass of 99 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.66e+48 J\nB. 8.49e+48 J\nC. 1.74e+49 J\nD. 3.27e+48 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 5.8 solar masses, assuming an initial mass of 97 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.6e+48 J\nB. 7.87e+48 J\nC. 1.63e+49 J\nD. 6.3e+48 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 7.2 solar masses, assuming an initial mass of 62 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.66e+48 J\nB. 4.58e+48 J\nC. 9.81e+48 J\nD. 4.54e+48 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 4.6 solar masses, assuming an initial mass of 71 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.03e+48 J\nB. 7.65e+48 J\nC. 5.93e+48 J\nD. 1.19e+49 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 7.7 solar masses, assuming an initial mass of 54 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.35e+48 J\nB. 1.21e+48 J\nC. 8.29e+48 J\nD. 5.73e+48 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 9.5 solar masses, assuming an initial mass of 104 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.58e+48 J\nB. 6.79e+48 J\nC. 1.69e+49 J\nD. 3.31e+48 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 1.7 solar masses, assuming an initial mass of 106 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.19e+48 J\nB. 1.87e+49 J\nC. 5.13e+48 J\nD. 8.41e+48 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 2.3 solar masses, assuming an initial mass of 62 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.51e+48 J\nB. 1.07e+49 J\nC. 8.1e+48 J\nD. 4.38e+48 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total energy released in a supernova explosion that results in a remnant with a mass of 9.0 solar masses, assuming an initial mass of 114 solar masses and a velocity of 10,000 km/s? Please note that the following content involves constants might be used in the calculations : solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.57e+48 J\nB. 7.14e+48 J\nC. 4.48e+48 J\nD. 1.88e+49 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 74869 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.71e+08 years\nB. 1.35e+09 years\nC. 3.24e+08 years\nD. 9.61e+08 years\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 12568 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.9e+08 years\nB. 7.08e+08 years\nC. 9.26e+08 years\nD. 9.30e+07 years\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 38040 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.90e+08 years\nB. 9.1e+08 years\nC. 2.67e+08 years\nD. 8.78e+08 years\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 72809 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.59e+08 years\nB. 1.4e+08 years\nC. 8.51e+08 years\nD. 1.30e+09 years\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 32400 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.49e+08 years\nB. 1.99e+08 years\nC. 8.69e+08 years\nD. 3.85e+08 years\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 41590 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.97e+08 years\nB. 9.99e+08 years\nC. 3.8e+08 years\nD. 5.60e+08 years\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 65202 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.32e+08 years\nB. 5.51e+08 years\nC. 1.10e+09 years\nD. 1.78e+08 years\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 17762 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.65e+08 years\nB. 2.1e+08 years\nC. 1.56e+08 years\nD. 5.88e+08 years\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 56087 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.63e+08 years\nB. 8.77e+08 years\nC. 5.59e+08 years\nD. 9.16e+08 years\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected orbital period of a star located at a distance of 72826 light years from the center of the Milky Way galaxy, assuming a circular orbit around the galactic center? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.4e+08 years\nB. 1.30e+09 years\nC. 2.6e+08 years\nD. 3.38e+08 years\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 29126 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 225 km/s and the average rotational velocity of the galactic disk at that distance is 324 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 324.0 km/s\nB. 201.75 km/s\nC. 207.36 km/s\nD. 205.54 km/s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 57069 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 256 km/s and the average rotational velocity of the galactic disk at that distance is 311 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 202.71 km/s\nB. 209.65 km/s\nC. 311.0 km/s\nD. 202.62 km/s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 30628 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 292 km/s and the average rotational velocity of the galactic disk at that distance is 335 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 335.0 km/s\nB. 206.86 km/s\nC. 209.32 km/s\nD. 202.13 km/s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 84473 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 221 km/s and the average rotational velocity of the galactic disk at that distance is 284 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 207.94 km/s\nB. 205.66 km/s\nC. 205.29 km/s\nD. 284.0 km/s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 49757 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 250 km/s and the average rotational velocity of the galactic disk at that distance is 323 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 209.2 km/s\nB. 201.15 km/s\nC. 323.0 km/s\nD. 208.4 km/s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 19489 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 277 km/s and the average rotational velocity of the galactic disk at that distance is 315 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 315.0 km/s\nB. 202.88 km/s\nC. 208.85 km/s\nD. 207.81 km/s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 78935 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 239 km/s and the average rotational velocity of the galactic disk at that distance is 297 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 297.0 km/s\nB. 203.91 km/s\nC. 205.49 km/s\nD. 202.34 km/s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 33136 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 210 km/s and the average rotational velocity of the galactic disk at that distance is 282 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 282.0 km/s\nB. 204.27 km/s\nC. 202.17 km/s\nD. 208.53 km/s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 58352 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 296 km/s and the average rotational velocity of the galactic disk at that distance is 309 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 204.64 km/s\nB. 201.55 km/s\nC. 204.86 km/s\nD. 309.0 km/s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the rotational velocity of the Milky Way's galactic disk at a distance of 17314 light-years from the galactic center, given that the observed radial velocity of a star at that distance is 266 km/s and the average rotational velocity of the galactic disk at that distance is 276 km/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 209.35 km/s\nB. 202.35 km/s\nC. 276.0 km/s\nD. 202.41 km/s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Astrophysics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3000.0 k\nB. 5698.75 k\nC. 3363.63 k\nD. 3250.5 k\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8267.92 k\nB. 5342.78 k\nC. 3000.0 k\nD. 3485.01 k\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3000.0 k\nB. 5401.16 k\nC. 4075.94 k\nD. 1535.31 k\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8928.08 k\nB. 3295.01 k\nC. 3000.0 k\nD. 4598.23 k\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9330.31 k\nB. 4225.68 k\nC. 3000.0 k\nD. 4710.79 k\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1492.39 k\nB. 3000.0 k\nC. 6121.88 k\nD. 2957.84 k\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3221.78 k\nB. 3000.0 k\nC. 6063.66 k\nD. 8681.71 k\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2998.89 k\nB. 8560.5 k\nC. 3000.0 k\nD. 9560.98 k\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4520.5 k\nB. 7995.91 k\nC. 6382.38 k\nD. 3000.0 k\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the universe 380,000 years after the Big Bang, assuming that the universe was completely ionized at that time and that the cosmic microwave background radiation has a black body spectrum. Please note that the following content involves constants might be used in the calculations : T0 = 2.73 k. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3000.0 k\nB. 2884.43 k\nC. 6741.52 k\nD. 2504.73 k\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 5 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.20e-13 Gy\nB. 7.51e-13 Gy\nC. 1.19e-13 Gy\nD. 9.15e-13 Gy\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 5 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.55e-13 Gy\nB. 9.9e-13 Gy\nC. 3.78e-13 Gy\nD. 3.20e-13 Gy\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 3 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.20e-13 Gy\nB. 7.53e-13 Gy\nC. 6.82e-13 Gy\nD. 7.34e-13 Gy\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 3 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.68e-13 Gy\nB. 3.20e-13 Gy\nC. 5.08e-13 Gy\nD. 5.07e-13 Gy\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 6 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.65e-13 Gy\nB. 8.35e-13 Gy\nC. 2.02e-13 Gy\nD. 3.20e-13 Gy\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 3 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.9e-13 Gy\nB. 6.37e-13 Gy\nC. 3.20e-13 Gy\nD. 1.6e-13 Gy\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 6 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.47e-13 Gy\nB. 3.20e-13 Gy\nC. 7.45e-13 Gy\nD. 6.89e-13 Gy\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 9 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.20e-13 Gy\nB. 4.46e-13 Gy\nC. 7.09e-13 Gy\nD. 3.89e-13 Gy\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 9 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.20e-13 Gy\nB. 9.34e-13 Gy\nC. 6.46e-13 Gy\nD. 5.42e-13 Gy\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the probability of a cosmic ray of energy 7 e+18 eV passing through a typical human body, and estimate the dose of ionizing radiation received by the body due to this cosmic ray. Please note that the following content involves constants might be used in the calculations :absorption area A = 0.1 m^2. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.92e-13 Gy\nB. 9.22e-13 Gy\nC. 5.42e-13 Gy\nD. 3.20e-13 Gy\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 177.8 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.01 k\nB. 2.18 k\nC. 1.72 k\nD. 7.22 k\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 906.6 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.63 k\nB. 7.8 k\nC. 3.57 k\nD. 8.76 k\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 434.4 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.5 k\nB. 8.4 k\nC. 7.36 k\nD. 4.2 k\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 394.7 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.55 k\nB. 3.81 k\nC. 4.87 k\nD. 9.89 k\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 799.9 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.27 k\nB. 9.94 k\nC. 2.44 k\nD. 7.73 k\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 431.2 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.1 k\nB. 2.85 k\nC. 4.17 k\nD. 4.4 k\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 953.8 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.01 k\nB. 9.21 k\nC. 4.69 k\nD. 2.91 k\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 975.5 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.27 k\nB. 9.01 k\nC. 9.42 k\nD. 3.63 k\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 771.2 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.54 k\nB. 7.04 k\nC. 7.45 k\nD. 9.03 k\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the temperature of the cosmic microwave background radiation assuming it to be a blackbody at thermal equilibrium. Given that the frequency of the radiation peaks at around 553.3 GHz, what is the corresponding wavelength of this peak? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.34 k\nB. 6.74 k\nC. 5.67 k\nD. 8.35 k\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 680 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.28e-06 atoms/cm^3\nB. 4.82e-06 atoms/cm^3\nC. 6.91e-06 atoms/cm^3\nD. 9.31e-06 atoms/cm^3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 182 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.95e-06 atoms/cm^3\nB. 4.82e-06 atoms/cm^3\nC. 3.87e-06 atoms/cm^3\nD. 7.06e-06 atoms/cm^3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 790 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.67e-06 atoms/cm^3\nB. 4.1e-06 atoms/cm^3\nC. 4.82e-06 atoms/cm^3\nD. 8.32e-06 atoms/cm^3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 778 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.88e-06 atoms/cm^3\nB. 4.82e-06 atoms/cm^3\nC. 2.39e-06 atoms/cm^3\nD. 4.66e-06 atoms/cm^3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 711 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.88e-06 atoms/cm^3\nB. 4.82e-06 atoms/cm^3\nC. 6.89e-06 atoms/cm^3\nD. 6.58e-06 atoms/cm^3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 116 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.16e-06 atoms/cm^3\nB. 4.7e-06 atoms/cm^3\nC. 8.6e-06 atoms/cm^3\nD. 4.82e-06 atoms/cm^3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 762 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.82e-06 atoms/cm^3\nB. 8.13e-06 atoms/cm^3\nC. 3.46e-06 atoms/cm^3\nD. 2.61e-06 atoms/cm^3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 882 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.81e-06 atoms/cm^3\nB. 2.08e-06 atoms/cm^3\nC. 4.82e-06 atoms/cm^3\nD. 4.13e-06 atoms/cm^3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 788 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.51e-06 atoms/cm^3\nB. 4.82e-06 atoms/cm^3\nC. 9.41e-06 atoms/cm^3\nD. 8.51e-06 atoms/cm^3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the mass density of a filament of the cosmic web that is 442 megaparsecs in length and has an average thickness of 10 kiloparsecs? Given that the gas in the filament is made up of 75% hydrogen and 25% helium by mass, calculate the number density of atoms in the filament assuming it is in thermal equilibrium. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.95e-06 atoms/cm^3\nB. 5.1e-06 atoms/cm^3\nC. 4.02e-06 atoms/cm^3\nD. 4.82e-06 atoms/cm^3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 39 and 71 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.68e-31\nB. 9.12e-32\nC. 2.79e-31\nD. 3.57e-31\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 32 and 60 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.03e-31\nB. 3.16e-31\nC. 1.78e-31\nD. 6.99e-31\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 53 and 74 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.6e-31\nB. 5.33e-31\nC. 8.09e-32\nD. 6.45e-31\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 27 and 50 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.78e-31\nB. 7.65e-31\nC. 1.16e-31\nD. 4.41e-31\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 21 and 12 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.46e-31\nB. 2.51e-31\nC. 9.53e-31\nD. 2.03e-31\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 57 and 93 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.57e-31\nB. 7.33e-32\nC. 5.75e-31\nD. 3.28e-31\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 63 and 69 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.22e-31\nB. 6.89e-31\nC. 5.84e-31\nD. 7.80e-32\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 39 and 24 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.98e-31\nB. 7.9e-31\nC. 1.31e-31\nD. 6.12e-31\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 91 and 14 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.84e-31\nB. 8.38e-31\nC. 3.55e-31\nD. 1.24e-31\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy required for a gravitational wave detector to measure the gravitational waves emitted by the merger of two black holes with masses 80 and 38 solar masses, respectively? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;f_GW = 100 ;the distance d=3.086e25 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.23e-31\nB. 8.23e-31\nC. 8.87e-32\nD. 3.39e-31\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 41 and 69 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.71e-21\nB. 4.89e-21\nC. 3.16e-21\nD. 5.62e-20\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 13 and 63 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.16e-21\nB. 1.65e-21\nC. 2.95e-21\nD. 5.09e-20\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 62 and 50 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.39e-21\nB. 5.69e-20\nC. 3.87e-21\nD. 7.02e-21\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 50 and 39 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.68e-20\nB. 6.94e-21\nC. 3.75e-21\nD. 5.56e-21\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 14 and 68 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.09e-20\nB. 6.7e-21\nC. 3.61e-21\nD. 1.4e-21\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 23 and 65 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.36e-21\nB. 5.41e-20\nC. 7.83e-21\nD. 9.71e-21\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 85 and 47 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.79e-21\nB. 5.60e-20\nC. 6.63e-21\nD. 8.96e-21\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 73 and 39 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.59e-20\nB. 4.05e-21\nC. 9.65e-21\nD. 9.56e-21\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 61 and 28 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.53e-20\nB. 8.03e-21\nC. 3.54e-21\nD. 7.2e-21\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected amplitude and frequency of gravitational waves produced by the coalescence of two black holes with masses of 27 and 66 solar masses located at a distance of 1 billion light-years from Earth, and what is the expected signal-to-noise ratio for the Laser Interferometer Gravitational-Wave Observatory (LIGO) detector? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.48e-20\nB. 1.37e-21\nC. 9.94e-21\nD. 1.57e-21\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 97 and 30 times the mass of the sun, orbiting each other in a binary system with an orbital period of 44 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.15e-15\nB. 3.71e-15\nC. 5.81e-15\nD. 8.39e-15\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 38 and 71 times the mass of the sun, orbiting each other in a binary system with an orbital period of 92 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.73e-15\nB. 7.47e-15\nC. 2.8e-15\nD. 3.87e-15\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 17 and 59 times the mass of the sun, orbiting each other in a binary system with an orbital period of 28 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.75e-15\nB. 7.61e-15\nC. 1.33e-15\nD. 7.01e-15\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 63 and 33 times the mass of the sun, orbiting each other in a binary system with an orbital period of 92 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.12e-15\nB. 4.6e-15\nC. 2.97e-15\nD. 6.98e-15\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 83 and 25 times the mass of the sun, orbiting each other in a binary system with an orbital period of 38 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.68e-15\nB. 8.13e-15\nC. 5.78e-15\nD. 6.4e-15\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 33 and 65 times the mass of the sun, orbiting each other in a binary system with an orbital period of 35 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.3e-15\nB. 2.21e-15\nC. 3.71e-15\nD. 3.84e-15\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 50 and 40 times the mass of the sun, orbiting each other in a binary system with an orbital period of 98 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.87e-15\nB. 1.86e-15\nC. 3.08e-15\nD. 1.53e-15\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 47 and 90 times the mass of the sun, orbiting each other in a binary system with an orbital period of 71 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.75e-15\nB. 9.65e-15\nC. 2.37e-15\nD. 4.32e-15\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 19 and 34 times the mass of the sun, orbiting each other in a binary system with an orbital period of 65 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.43e-15\nB. 6.46e-16\nC. 5.54e-15\nD. 3.75e-15\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the expected frequency of gravitational waves emitted by two black holes of masses 46 and 55 times the mass of the sun, orbiting each other in a binary system with an orbital period of 48 seconds? What would be the amplitude of these waves when they reach Earth? Lastly, how could we detect these waves and what are the implications of detecting them? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.35e-15\nB. 9.8e-15\nC. 3.67e-15\nD. 1.42e-15\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 8 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 23599 m\nB. 43474 m\nC. 58050 m\nD. 12589 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 9 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 23022 m\nB. 34275 m\nC. 26549 m\nD. 59456 m\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 9 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 41467 m\nB. 41495 m\nC. 53487 m\nD. 26549 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 2 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 12092 m\nB. 94115 m\nC. 83092 m\nD. 5900 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 5 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 29969 m\nB. 14750 m\nC. 73799 m\nD. 96761 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 8 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 25071 m\nB. 23599 m\nC. 39382 m\nD. 99408 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 7 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 52778 m\nB. 20649 m\nC. 79199 m\nD. 14907 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 2 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 78577 m\nB. 93161 m\nC. 31190 m\nD. 5900 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 7 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 94419 m\nB. 88623 m\nC. 20649 m\nD. 56528 m\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the Schwarzschild radius and how is it related to black holes? Calculate the Schwarzschild radius for a black hole with a mass of 9 solar masses. Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 10284 m\nB. 26549 m\nC. 41826 m\nD. 56436 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 3 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 40230 m\nB. 83294 m\nC. 33008 m\nD. 8850 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 1 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2950 m\nB. 69960 m\nC. 45034 m\nD. 12645 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 2 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5900 m\nB. 54260 m\nC. 92623 m\nD. 41399 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 5 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 38954 m\nB. 14750 m\nC. 86208 m\nD. 36116 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 5 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 52532 m\nB. 91459 m\nC. 79219 m\nD. 14750 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 4 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 11800 m\nB. 31558 m\nC. 25435 m\nD. 42306 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 4 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 11800 m\nB. 76407 m\nC. 13813 m\nD. 27846 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 2 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5900 m\nB. 81237 m\nC. 31115 m\nD. 86528 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 4 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 39615 m\nB. 79011 m\nC. 11800 m\nD. 13541 m\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the event horizon radius of a black hole with a mass of 8 solar masses? Please note that the following content involves constants might be used in the calculations : gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 23599 m\nB. 31641 m\nC. 27445 m\nD. 51389 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 262 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4151 T\nB. 7377 T\nC. 4094 T\nD. 4778 T\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 433 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7982 T\nB. 5827 T\nC. 5723 T\nD. 4634 T\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 241 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5877 T\nB. 3873 T\nC. 9346 T\nD. 4027 T\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 337 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4890 T\nB. 4843 T\nC. 5835 T\nD. 6853 T\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 368 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9803 T\nB. 2070 T\nC. 5135 T\nD. 8565 T\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 768 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8386 T\nB. 8068 T\nC. 4158 T\nD. 7801 T\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 356 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5435 T\nB. 5263 T\nC. 2150 T\nD. 5023 T\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 791 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1980 T\nB. 8553 T\nC. 3250 T\nD. 3392 T\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 769 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6840 T\nB. 4177 T\nC. 4134 T\nD. 8394 T\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the value of the magnetic field in a galaxy located in the Virgo Cluster that has a radius of 50,000 light-years and a rotational velocity of 768 km/s? How does the magnetic field in this galaxy differ from the magnetic field in a similar non-rotating galaxy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3153 T\nB. 8386 T\nC. 8747 T\nD. 4958 T\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Cosmology", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 6 cm from a straight wire carrying a current of 7 A. The wire has a length of 4 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 48.72 x 10^(-6) Tesla\nB. 25.6 x 10^(-6) Tesla\nC. 23.35 x 10^(-6) Tesla\nD. 23.33 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 7 cm from a straight wire carrying a current of 3 A. The wire has a length of 3 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.57 x 10^(-6) Tesla\nB. 4.86 x 10^(-6) Tesla\nC. 8.5 x 10^(-6) Tesla\nD. 6.44 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 1 cm from a straight wire carrying a current of 2 A. The wire has a length of 2 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 66.43 x 10^(-6) Tesla\nB. 80.87 x 10^(-6) Tesla\nC. 40.0 x 10^(-6) Tesla\nD. 32.32 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 2 cm from a straight wire carrying a current of 8 A. The wire has a length of 8 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 71.72 x 10^(-6) Tesla\nB. 64.57 x 10^(-6) Tesla\nC. 80.0 x 10^(-6) Tesla\nD. 91.48 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 9 cm from a straight wire carrying a current of 4 A. The wire has a length of 4 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.89 x 10^(-6) Tesla\nB. 9.12 x 10^(-6) Tesla\nC. 9.48 x 10^(-6) Tesla\nD. 6.48 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 8 cm from a straight wire carrying a current of 7 A. The wire has a length of 5 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 17.5 x 10^(-6) Tesla\nB. 44.3 x 10^(-6) Tesla\nC. 73.58 x 10^(-6) Tesla\nD. 58.62 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 6 cm from a straight wire carrying a current of 1 A. The wire has a length of 3 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.3 x 10^(-6) Tesla\nB. 8.7 x 10^(-6) Tesla\nC. 7.33 x 10^(-6) Tesla\nD. 3.33 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 9 cm from a straight wire carrying a current of 6 A. The wire has a length of 9 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 16.5 x 10^(-6) Tesla\nB. 28.49 x 10^(-6) Tesla\nC. 57.71 x 10^(-6) Tesla\nD. 13.33 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 5 cm from a straight wire carrying a current of 4 A. The wire has a length of 5 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 16.0 x 10^(-6) Tesla\nB. 42.41 x 10^(-6) Tesla\nC. 39.49 x 10^(-6) Tesla\nD. 65.61 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the magnetic field strength at a distance of 5 cm from a straight wire carrying a current of 8 A. The wire has a length of 3 cm, and the current flows in the direction perpendicular to the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 63.28 x 10^(-6) Tesla\nB. 16.27 x 10^(-6) Tesla\nC. 32.0 x 10^(-6) Tesla\nD. 89.98 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 2 cm has a current of 1 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 7 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.41 x 10^(-5) Tesla\nB. 0.71 x 10^(-5) Tesla\nC. 0.29 x 10^(-5) Tesla\nD. 0.17 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 9 cm has a current of 1 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 17 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.98 x 10^(-5) Tesla\nB. 0.12 x 10^(-5) Tesla\nC. 0.75 x 10^(-5) Tesla\nD. 0.72 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 7 cm has a current of 3 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 16 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.11 x 10^(-5) Tesla\nB. 0.48 x 10^(-5) Tesla\nC. 0.37 x 10^(-5) Tesla\nD. 0.45 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 3 cm has a current of 3 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 9 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.28 x 10^(-5) Tesla\nB. 0.75 x 10^(-5) Tesla\nC. 0.67 x 10^(-5) Tesla\nD. 0.45 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 9 cm has a current of 5 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 10 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.19 x 10^(-5) Tesla\nB. 1.0 x 10^(-5) Tesla\nC. 2.81 x 10^(-5) Tesla\nD. 6.86 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 3 cm has a current of 7 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 7 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.84 x 10^(-5) Tesla\nB. 7.19 x 10^(-5) Tesla\nC. 2.0 x 10^(-5) Tesla\nD. 6.5 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 4 cm has a current of 2 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 8 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.81 x 10^(-5) Tesla\nB. 0.5 x 10^(-5) Tesla\nC. 0.37 x 10^(-5) Tesla\nD. 0.14 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 5 cm has a current of 9 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 13 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 7.28 x 10^(-5) Tesla\nB. 5.24 x 10^(-5) Tesla\nC. 8.34 x 10^(-5) Tesla\nD. 1.38 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 4 cm has a current of 3 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 5 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.2 x 10^(-5) Tesla\nB. 1.1 x 10^(-5) Tesla\nC. 2.87 x 10^(-5) Tesla\nD. 3.54 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying cylindrical wire with a radius of 7 cm has a current of 5 A flowing through it. Calculate the magnitude and direction of the magnetic field at a distance of 12 cm from the center of the cylinder. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.34 x 10^(-5) Tesla\nB. 0.2 x 10^(-5) Tesla\nC. 0.83 x 10^(-5) Tesla\nD. 0.18 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 2 cm carrying a current of 4 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 72.47 x 10^(-5) Tesla\nB. 57.96 x 10^(-5) Tesla\nC. 12.57 x 10^(-5) Tesla\nD. 68.11 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 5 cm carrying a current of 9 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 33.38 x 10^(-5) Tesla\nB. 11.31 x 10^(-5) Tesla\nC. 44.47 x 10^(-5) Tesla\nD. 49.88 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 6 cm carrying a current of 9 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.61 x 10^(-5) Tesla\nB. 5.32 x 10^(-5) Tesla\nC. 9.42 x 10^(-5) Tesla\nD. 2.88 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 2 cm carrying a current of 9 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 60.44 x 10^(-5) Tesla\nB. 19.44 x 10^(-5) Tesla\nC. 28.27 x 10^(-5) Tesla\nD. 21.96 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 1 cm carrying a current of 1 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.23 x 10^(-5) Tesla\nB. 1.45 x 10^(-5) Tesla\nC. 6.28 x 10^(-5) Tesla\nD. 7.61 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 5 cm carrying a current of 3 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.42 x 10^(-5) Tesla\nB. 1.13 x 10^(-5) Tesla\nC. 3.39 x 10^(-5) Tesla\nD. 3.77 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 7 cm carrying a current of 1 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.9 x 10^(-5) Tesla\nB. 0.19 x 10^(-5) Tesla\nC. 0.56 x 10^(-5) Tesla\nD. 0.74 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 5 cm carrying a current of 4 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.2 x 10^(-5) Tesla\nB. 5.75 x 10^(-5) Tesla\nC. 1.87 x 10^(-5) Tesla\nD. 5.03 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 8 cm carrying a current of 7 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.3 x 10^(-5) Tesla\nB. 9.38 x 10^(-5) Tesla\nC. 5.5 x 10^(-5) Tesla\nD. 1.69 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field at the center of a circular loop of radius 2 cm carrying a current of 7 A Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 78.4 x 10^(-5) Tesla\nB. 46.78 x 10^(-5) Tesla\nC. 21.99 x 10^(-5) Tesla\nD. 37.85 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 4.0 m x 8.0 m carries a current of 3 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.28 x 10^(-7) Tesla\nB. 3.4 x 10^(-7) Tesla\nC. 9.72 x 10^(-7) Tesla\nD. 3.18 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 1.0 m x 2.0 m carries a current of 3 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 14.57 x 10^(-7) Tesla\nB. 36.39 x 10^(-7) Tesla\nC. 71.74 x 10^(-7) Tesla\nD. 12.73 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 4.0 m x 7.0 m carries a current of 5 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.18 x 10^(-7) Tesla\nB. 4.21 x 10^(-7) Tesla\nC. 5.56 x 10^(-7) Tesla\nD. 1.69 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 9.0 m x 3.0 m carries a current of 1 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.26 x 10^(-7) Tesla\nB. 9.9 x 10^(-7) Tesla\nC. 3.1 x 10^(-7) Tesla\nD. 3.42 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 3.0 m x 1.0 m carries a current of 2 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 7.54 x 10^(-7) Tesla\nB. 1.73 x 10^(-7) Tesla\nC. 3.54 x 10^(-7) Tesla\nD. 7.35 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 4.0 m x 4.0 m carries a current of 9 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 99.67 x 10^(-7) Tesla\nB. 72.97 x 10^(-7) Tesla\nC. 73.77 x 10^(-7) Tesla\nD. 12.73 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 9.0 m x 8.0 m carries a current of 9 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 6.01 x 10^(-7) Tesla\nB. 8.93 x 10^(-7) Tesla\nC. 4.62 x 10^(-7) Tesla\nD. 9.97 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 4.0 m x 6.0 m carries a current of 2 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.61 x 10^(-7) Tesla\nB. 5.2 x 10^(-7) Tesla\nC. 2.36 x 10^(-7) Tesla\nD. 6.85 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 6.0 m x 7.0 m carries a current of 2 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.97 x 10^(-7) Tesla\nB. 6.59 x 10^(-7) Tesla\nC. 1.75 x 10^(-7) Tesla\nD. 4.44 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A rectangular loop of dimensions 6.0 m x 3.0 m carries a current of 9 A. What is the magnitude of the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 93.57 x 10^(-7) Tesla\nB. 25.87 x 10^(-7) Tesla\nC. 37.34 x 10^(-7) Tesla\nD. 12.73 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 8.0 m is carrying a current of 9 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 6.36 x 10^(-7) Tesla\nB. 7.78 x 10^(-7) Tesla\nC. 5.33 x 10^(-7) Tesla\nD. 3.36 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 8.0 m is carrying a current of 8 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.22 x 10^(-7) Tesla\nB. 7.45 x 10^(-7) Tesla\nC. 5.66 x 10^(-7) Tesla\nD. 8.82 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 7.0 m is carrying a current of 2 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.62 x 10^(-7) Tesla\nB. 8.71 x 10^(-7) Tesla\nC. 3.54 x 10^(-7) Tesla\nD. 1.6 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 6.0 m is carrying a current of 5 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.71 x 10^(-7) Tesla\nB. 2.88 x 10^(-7) Tesla\nC. 4.95 x 10^(-7) Tesla\nD. 1.53 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 8.0 m is carrying a current of 3 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.44 x 10^(-7) Tesla\nB. 5.93 x 10^(-7) Tesla\nC. 2.12 x 10^(-7) Tesla\nD. 6.41 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 2.0 m is carrying a current of 9 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 76.83 x 10^(-7) Tesla\nB. 25.46 x 10^(-7) Tesla\nC. 96.55 x 10^(-7) Tesla\nD. 76.3 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 2.0 m is carrying a current of 7 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 61.64 x 10^(-7) Tesla\nB. 82.62 x 10^(-7) Tesla\nC. 19.8 x 10^(-7) Tesla\nD. 71.84 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 5.0 m is carrying a current of 5 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.66 x 10^(-7) Tesla\nB. 7.13 x 10^(-7) Tesla\nC. 5.49 x 10^(-7) Tesla\nD. 1.85 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 4.0 m is carrying a current of 5 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.85 x 10^(-7) Tesla\nB. 7.07 x 10^(-7) Tesla\nC. 7.81 x 10^(-7) Tesla\nD. 9.38 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A square loop of side length 9.0 m is carrying a current of 3 A. What is the magnetic field at the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.87 x 10^(-7) Tesla\nB. 5.73 x 10^(-7) Tesla\nC. 2.46 x 10^(-7) Tesla\nD. 1.89 x 10^(-7) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 230 turns with a radius of 5 cm and a current of 1 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 77 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.25 x 10^(-5) Tesla\nB. 0.53 x 10^(-5) Tesla\nC. 0.59 x 10^(-5) Tesla\nD. 0.08 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 692 turns with a radius of 7 cm and a current of 4 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 47 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.94 x 10^(-5) Tesla\nB. 7.98 x 10^(-5) Tesla\nC. 7.94 x 10^(-5) Tesla\nD. 5.5 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 870 turns with a radius of 6 cm and a current of 2 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 21 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 37.78 x 10^(-5) Tesla\nB. 97.49 x 10^(-5) Tesla\nC. 23.15 x 10^(-5) Tesla\nD. 40.74 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 292 turns with a radius of 9 cm and a current of 2 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 14 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 32.77 x 10^(-5) Tesla\nB. 26.33 x 10^(-5) Tesla\nC. 39.47 x 10^(-5) Tesla\nD. 64.47 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 518 turns with a radius of 7 cm and a current of 5 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 74 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.94 x 10^(-5) Tesla\nB. 8.65 x 10^(-5) Tesla\nC. 4.53 x 10^(-5) Tesla\nD. 7.51 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 146 turns with a radius of 8 cm and a current of 5 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 94 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.35 x 10^(-5) Tesla\nB. 0.31 x 10^(-5) Tesla\nC. 0.32 x 10^(-5) Tesla\nD. 0.11 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 484 turns with a radius of 5 cm and a current of 4 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 95 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.99 x 10^(-5) Tesla\nB. 0.63 x 10^(-5) Tesla\nC. 0.93 x 10^(-5) Tesla\nD. 0.35 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 181 turns with a radius of 6 cm and a current of 7 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 59 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.57 x 10^(-5) Tesla\nB. 8.29 x 10^(-5) Tesla\nC. 1.37 x 10^(-5) Tesla\nD. 9.94 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 676 turns with a radius of 1 cm and a current of 4 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 77 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.64 x 10^(-5) Tesla\nB. 0.97 x 10^(-5) Tesla\nC. 0.04 x 10^(-5) Tesla\nD. 0.91 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A current-carrying helix has 343 turns with a radius of 9 cm and a current of 9 A. Calculate the magnetic field at a point that is located on the axis of the helix and is 60 cm away from its center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.97 x 10^(-5) Tesla\nB. 3.15 x 10^(-5) Tesla\nC. 7.03 x 10^(-5) Tesla\nD. 8.17 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 4 mm and an outer conductor with a radius of 86 mm. If the current carried by the cable is 7 A, what is the magnetic field at a distance of 45 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.78 x 10^(-5) Tesla\nB. 2.63 x 10^(-5) Tesla\nC. 3.11 x 10^(-5) Tesla\nD. 7.45 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 4 mm and an outer conductor with a radius of 69 mm. If the current carried by the cable is 1 A, what is the magnetic field at a distance of 36 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.33 x 10^(-5) Tesla\nB. 0.56 x 10^(-5) Tesla\nC. 0.35 x 10^(-5) Tesla\nD. 0.3 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 7 mm and an outer conductor with a radius of 101 mm. If the current carried by the cable is 2 A, what is the magnetic field at a distance of 54 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.48 x 10^(-5) Tesla\nB. 0.74 x 10^(-5) Tesla\nC. 0.48 x 10^(-5) Tesla\nD. 0.7 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 1 mm and an outer conductor with a radius of 83 mm. If the current carried by the cable is 2 A, what is the magnetic field at a distance of 42 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.86 x 10^(-5) Tesla\nB. 0.95 x 10^(-5) Tesla\nC. 0.16 x 10^(-5) Tesla\nD. 0.3 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 7 mm and an outer conductor with a radius of 106 mm. If the current carried by the cable is 8 A, what is the magnetic field at a distance of 56 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.86 x 10^(-5) Tesla\nB. 3.85 x 10^(-5) Tesla\nC. 1.66 x 10^(-5) Tesla\nD. 2.84 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 7 mm and an outer conductor with a radius of 19 mm. If the current carried by the cable is 9 A, what is the magnetic field at a distance of 13 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 13.85 x 10^(-5) Tesla\nB. 74.65 x 10^(-5) Tesla\nC. 10.86 x 10^(-5) Tesla\nD. 59.91 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 2 mm and an outer conductor with a radius of 30 mm. If the current carried by the cable is 2 A, what is the magnetic field at a distance of 16 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.41 x 10^(-5) Tesla\nB. 8.37 x 10^(-5) Tesla\nC. 2.43 x 10^(-5) Tesla\nD. 2.5 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 3 mm and an outer conductor with a radius of 70 mm. If the current carried by the cable is 7 A, what is the magnetic field at a distance of 36 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 7.76 x 10^(-5) Tesla\nB. 8.95 x 10^(-5) Tesla\nC. 3.89 x 10^(-5) Tesla\nD. 4.81 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 5 mm and an outer conductor with a radius of 21 mm. If the current carried by the cable is 9 A, what is the magnetic field at a distance of 13 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 74.58 x 10^(-5) Tesla\nB. 88.62 x 10^(-5) Tesla\nC. 90.45 x 10^(-5) Tesla\nD. 13.85 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A coaxial cable has an inner conductor with a radius of 7 mm and an outer conductor with a radius of 46 mm. If the current carried by the cable is 3 A, what is the magnetic field at a distance of 26 mm from the center of the cable? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.88 x 10^(-5) Tesla\nB. 3.79 x 10^(-5) Tesla\nC. 2.31 x 10^(-5) Tesla\nD. 7.91 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 6345 turns per meter, carrying a current of 9 A, and with a radius of 0.5599999999999999 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 6.81 x 10^(-2) Tesla\nB. 8.93 x 10^(-2) Tesla\nC. 7.18 x 10^(-2) Tesla\nD. 4.98 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 7233 turns per meter, carrying a current of 7 A, and with a radius of 0.9099999999999999 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.55 x 10^(-2) Tesla\nB. 2.88 x 10^(-2) Tesla\nC. 4.84 x 10^(-2) Tesla\nD. 6.36 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 5755 turns per meter, carrying a current of 8 A, and with a radius of 0.13999999999999999 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.79 x 10^(-2) Tesla\nB. 2.86 x 10^(-2) Tesla\nC. 2.26 x 10^(-2) Tesla\nD. 5.83 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 8607 turns per meter, carrying a current of 9 A, and with a radius of 0.11000000000000001 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.18 x 10^(-2) Tesla\nB. 5.0 x 10^(-2) Tesla\nC. 9.0 x 10^(-2) Tesla\nD. 9.73 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 5918 turns per meter, carrying a current of 8 A, and with a radius of 0.44000000000000006 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.95 x 10^(-2) Tesla\nB. 5.56 x 10^(-2) Tesla\nC. 1.47 x 10^(-2) Tesla\nD. 8.31 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 3946 turns per meter, carrying a current of 4 A, and with a radius of 0.13 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.98 x 10^(-2) Tesla\nB. 1.32 x 10^(-2) Tesla\nC. 6.39 x 10^(-2) Tesla\nD. 4.68 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 2692 turns per meter, carrying a current of 6 A, and with a radius of 0.8800000000000001 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.14 x 10^(-2) Tesla\nB. 2.03 x 10^(-2) Tesla\nC. 5.64 x 10^(-2) Tesla\nD. 7.18 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 4580 turns per meter, carrying a current of 3 A, and with a radius of 0.55 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.42 x 10^(-2) Tesla\nB. 1.64 x 10^(-2) Tesla\nC. 7.71 x 10^(-2) Tesla\nD. 1.73 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 6995 turns per meter, carrying a current of 8 A, and with a radius of 0.9400000000000001 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.52 x 10^(-2) Tesla\nB. 7.03 x 10^(-2) Tesla\nC. 9.4 x 10^(-2) Tesla\nD. 3.92 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the magnetic field strength at a point inside a solenoid consisting of 8901 turns per meter, carrying a current of 6 A, and with a radius of 0.79 m? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.95 x 10^(-2) Tesla\nB. 6.71 x 10^(-2) Tesla\nC. 2.96 x 10^(-2) Tesla\nD. 7.43 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 884 turns and a secondary coil with 577 turns. The primary coil carries a current of 4 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 78 cm, a cross-sectional area of 2 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.7 x 10^(-3) Tesla\nB. 6.19 x 10^(-3) Tesla\nC. 3.54 x 10^(-3) Tesla\nD. 5.59 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 731 turns and a secondary coil with 446 turns. The primary coil carries a current of 4 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 36 cm, a cross-sectional area of 8 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 23.76 x 10^(-3) Tesla\nB. 10.21 x 10^(-3) Tesla\nC. 32.7 x 10^(-3) Tesla\nD. 71.15 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 482 turns and a secondary coil with 125 turns. The primary coil carries a current of 4 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 18 cm, a cross-sectional area of 7 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 98.99 x 10^(-3) Tesla\nB. 17.16 x 10^(-3) Tesla\nC. 13.46 x 10^(-3) Tesla\nD. 33.59 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 381 turns and a secondary coil with 844 turns. The primary coil carries a current of 3 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 44 cm, a cross-sectional area of 7 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 6.67 x 10^(-3) Tesla\nB. 3.26 x 10^(-3) Tesla\nC. 4.15 x 10^(-3) Tesla\nD. 9.59 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 791 turns and a secondary coil with 634 turns. The primary coil carries a current of 6 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 90 cm, a cross-sectional area of 3 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.68 x 10^(-3) Tesla\nB. 7.66 x 10^(-3) Tesla\nC. 6.98 x 10^(-3) Tesla\nD. 6.63 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 617 turns and a secondary coil with 652 turns. The primary coil carries a current of 7 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 87 cm, a cross-sectional area of 5 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.75 x 10^(-3) Tesla\nB. 1.39 x 10^(-3) Tesla\nC. 6.24 x 10^(-3) Tesla\nD. 2.83 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 618 turns and a secondary coil with 974 turns. The primary coil carries a current of 8 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 49 cm, a cross-sectional area of 6 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 77.96 x 10^(-3) Tesla\nB. 91.59 x 10^(-3) Tesla\nC. 12.68 x 10^(-3) Tesla\nD. 12.64 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 562 turns and a secondary coil with 806 turns. The primary coil carries a current of 6 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 88 cm, a cross-sectional area of 6 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.86 x 10^(-3) Tesla\nB. 5.26 x 10^(-3) Tesla\nC. 4.82 x 10^(-3) Tesla\nD. 8.18 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 495 turns and a secondary coil with 764 turns. The primary coil carries a current of 9 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 23 cm, a cross-sectional area of 8 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 24.34 x 10^(-3) Tesla\nB. 31.25 x 10^(-3) Tesla\nC. 42.19 x 10^(-3) Tesla\nD. 25.67 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A transformer has a primary coil with 951 turns and a secondary coil with 585 turns. The primary coil carries a current of 4 A. Calculate the magnetic field in the core of the transformer assuming that it has a length of 29 cm, a cross-sectional area of 3 cm\u00b2, and a permeability of 4\u03c0 \u00d7 10\u207b\u2077 H/m. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 22.33 x 10^(-3) Tesla\nB. 65.37 x 10^(-3) Tesla\nC. 65.61 x 10^(-3) Tesla\nD. 16.48 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 293 turns of wire in a circular loop with a radius of 1 cm. The motor carries a current of 7 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 38.27 x 10^(-2) Tesla\nB. 41.73 x 10^(-2) Tesla\nC. 12.89 x 10^(-2) Tesla\nD. 15.17 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 411 turns of wire in a circular loop with a radius of 4 cm. The motor carries a current of 6 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.87 x 10^(-2) Tesla\nB. 3.31 x 10^(-2) Tesla\nC. 1.95 x 10^(-2) Tesla\nD. 6.78 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 437 turns of wire in a circular loop with a radius of 3 cm. The motor carries a current of 7 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 9.6 x 10^(-2) Tesla\nB. 6.41 x 10^(-2) Tesla\nC. 3.44 x 10^(-2) Tesla\nD. 8.59 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 741 turns of wire in a circular loop with a radius of 4 cm. The motor carries a current of 3 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 9.99 x 10^(-2) Tesla\nB. 6.17 x 10^(-2) Tesla\nC. 7.67 x 10^(-2) Tesla\nD. 3.49 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 676 turns of wire in a circular loop with a radius of 9 cm. The motor carries a current of 3 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.68 x 10^(-2) Tesla\nB. 6.28 x 10^(-2) Tesla\nC. 1.42 x 10^(-2) Tesla\nD. 4.4 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 955 turns of wire in a circular loop with a radius of 8 cm. The motor carries a current of 5 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 7.92 x 10^(-2) Tesla\nB. 3.53 x 10^(-2) Tesla\nC. 3.75 x 10^(-2) Tesla\nD. 5.3 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 670 turns of wire in a circular loop with a radius of 3 cm. The motor carries a current of 1 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.29 x 10^(-2) Tesla\nB. 1.4 x 10^(-2) Tesla\nC. 9.55 x 10^(-2) Tesla\nD. 6.83 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 660 turns of wire in a circular loop with a radius of 6 cm. The motor carries a current of 1 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.56 x 10^(-2) Tesla\nB. 0.16 x 10^(-2) Tesla\nC. 0.69 x 10^(-2) Tesla\nD. 0.75 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 312 turns of wire in a circular loop with a radius of 2 cm. The motor carries a current of 7 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 9.77 x 10^(-2) Tesla\nB. 3.26 x 10^(-2) Tesla\nC. 4.74 x 10^(-2) Tesla\nD. 6.86 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A motor has 124 turns of wire in a circular loop with a radius of 4 cm. The motor carries a current of 9 A. Calculate the magnetic field at the center of the loop. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.72 x 10^(-2) Tesla\nB. 1.75 x 10^(-2) Tesla\nC. 2.75 x 10^(-2) Tesla\nD. 2.8 x 10^(-2) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 11 m carrying a current of 1 A. Calculate the magnetic field at a distance of 0.4 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.73 x 10^(-6) Tesla\nB. 0.5 x 10^(-6) Tesla\nC. 0.46 x 10^(-6) Tesla\nD. 0.46 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 11 m carrying a current of 9 A. Calculate the magnetic field at a distance of 0.7 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.59 x 10^(-6) Tesla\nB. 1.3 x 10^(-6) Tesla\nC. 2.57 x 10^(-6) Tesla\nD. 5.2 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 8 m carrying a current of 3 A. Calculate the magnetic field at a distance of 0.1 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.99 x 10^(-6) Tesla\nB. 5.87 x 10^(-6) Tesla\nC. 8.92 x 10^(-6) Tesla\nD. 6.0 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 3 m carrying a current of 7 A. Calculate the magnetic field at a distance of 0.9 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.94 x 10^(-6) Tesla\nB. 9.54 x 10^(-6) Tesla\nC. 6.52 x 10^(-6) Tesla\nD. 1.56 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 7 m carrying a current of 5 A. Calculate the magnetic field at a distance of 0.2 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 9.96 x 10^(-6) Tesla\nB. 8.32 x 10^(-6) Tesla\nC. 5.0 x 10^(-6) Tesla\nD. 5.46 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 5 m carrying a current of 3 A. Calculate the magnetic field at a distance of 0.3 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.0 x 10^(-6) Tesla\nB. 2.83 x 10^(-6) Tesla\nC. 8.87 x 10^(-6) Tesla\nD. 2.0 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 7 m carrying a current of 9 A. Calculate the magnetic field at a distance of 0.5 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.97 x 10^(-6) Tesla\nB. 3.29 x 10^(-6) Tesla\nC. 9.61 x 10^(-6) Tesla\nD. 3.6 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 8 m carrying a current of 6 A. Calculate the magnetic field at a distance of 0.2 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 6.0 x 10^(-6) Tesla\nB. 6.55 x 10^(-6) Tesla\nC. 1.56 x 10^(-6) Tesla\nD. 2.91 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 3 m carrying a current of 4 A. Calculate the magnetic field at a distance of 0.1 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.37 x 10^(-6) Tesla\nB. 5.67 x 10^(-6) Tesla\nC. 8.0 x 10^(-6) Tesla\nD. 4.44 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A generator has a wire of length 3 m carrying a current of 6 A. Calculate the magnetic field at a distance of 0.1 m from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 27.56 x 10^(-6) Tesla\nB. 79.96 x 10^(-6) Tesla\nC. 43.82 x 10^(-6) Tesla\nD. 12.0 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 36 cm and a diameter of 5 mm is connected to a resistor that carries a current of 6 A. Calculate the magnitude of the magnetic field at a distance of 7 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.71 x 10^(-5) Tesla\nB. 2.85 x 10^(-5) Tesla\nC. 9.67 x 10^(-5) Tesla\nD. 4.53 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 84 cm and a diameter of 9 mm is connected to a resistor that carries a current of 8 A. Calculate the magnitude of the magnetic field at a distance of 3 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.74 x 10^(-5) Tesla\nB. 5.33 x 10^(-5) Tesla\nC. 7.52 x 10^(-5) Tesla\nD. 8.12 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 48 cm and a diameter of 1 mm is connected to a resistor that carries a current of 8 A. Calculate the magnitude of the magnetic field at a distance of 8 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.74 x 10^(-5) Tesla\nB. 8.82 x 10^(-5) Tesla\nC. 2.0 x 10^(-5) Tesla\nD. 2.69 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 88 cm and a diameter of 3 mm is connected to a resistor that carries a current of 1 A. Calculate the magnitude of the magnetic field at a distance of 8 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.14 x 10^(-5) Tesla\nB. 0.25 x 10^(-5) Tesla\nC. 0.87 x 10^(-5) Tesla\nD. 0.43 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 99 cm and a diameter of 8 mm is connected to a resistor that carries a current of 8 A. Calculate the magnitude of the magnetic field at a distance of 2 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.58 x 10^(-5) Tesla\nB. 9.89 x 10^(-5) Tesla\nC. 8.0 x 10^(-5) Tesla\nD. 6.97 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 81 cm and a diameter of 4 mm is connected to a resistor that carries a current of 9 A. Calculate the magnitude of the magnetic field at a distance of 4 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.45 x 10^(-5) Tesla\nB. 1.41 x 10^(-5) Tesla\nC. 4.5 x 10^(-5) Tesla\nD. 6.32 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 43 cm and a diameter of 6 mm is connected to a resistor that carries a current of 6 A. Calculate the magnitude of the magnetic field at a distance of 1 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 14.51 x 10^(-5) Tesla\nB. 12.0 x 10^(-5) Tesla\nC. 56.71 x 10^(-5) Tesla\nD. 18.46 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 35 cm and a diameter of 8 mm is connected to a resistor that carries a current of 8 A. Calculate the magnitude of the magnetic field at a distance of 6 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.11 x 10^(-5) Tesla\nB. 4.97 x 10^(-5) Tesla\nC. 2.67 x 10^(-5) Tesla\nD. 1.11 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 101 cm and a diameter of 6 mm is connected to a resistor that carries a current of 1 A. Calculate the magnitude of the magnetic field at a distance of 2 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.13 x 10^(-5) Tesla\nB. 8.62 x 10^(-5) Tesla\nC. 7.48 x 10^(-5) Tesla\nD. 1.0 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A copper wire with a length of 103 cm and a diameter of 8 mm is connected to a resistor that carries a current of 9 A. Calculate the magnitude of the magnetic field at a distance of 3 cm from the center of the wire. Assume the wire is straight and the current flows uniformly throughout the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.23 x 10^(-5) Tesla\nB. 6.0 x 10^(-5) Tesla\nC. 2.28 x 10^(-5) Tesla\nD. 4.87 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 72 cm and 553 turns is carrying a current of 3 A. Calculate the magnetic field at a point located on the axis of the toroid, 71 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.34 x 10^(-4) Tesla\nB. 2.49 x 10^(-4) Tesla\nC. 4.67 x 10^(-4) Tesla\nD. 9.88 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 10 cm and 548 turns is carrying a current of 4 A. Calculate the magnetic field at a point located on the axis of the toroid, 6 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 73.07 x 10^(-4) Tesla\nB. 35.21 x 10^(-4) Tesla\nC. 19.91 x 10^(-4) Tesla\nD. 36.92 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 22 cm and 923 turns is carrying a current of 2 A. Calculate the magnetic field at a point located on the axis of the toroid, 19 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 19.43 x 10^(-4) Tesla\nB. 54.37 x 10^(-4) Tesla\nC. 20.64 x 10^(-4) Tesla\nD. 31.11 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 65 cm and 284 turns is carrying a current of 7 A. Calculate the magnetic field at a point located on the axis of the toroid, 62 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 6.41 x 10^(-4) Tesla\nB. 7.56 x 10^(-4) Tesla\nC. 7.92 x 10^(-4) Tesla\nD. 3.64 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 24 cm and 341 turns is carrying a current of 1 A. Calculate the magnetic field at a point located on the axis of the toroid, 16 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.26 x 10^(-4) Tesla\nB. 5.36 x 10^(-4) Tesla\nC. 2.31 x 10^(-4) Tesla\nD. 8.32 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 54 cm and 329 turns is carrying a current of 2 A. Calculate the magnetic field at a point located on the axis of the toroid, 53 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.48 x 10^(-4) Tesla\nB. 4.44 x 10^(-4) Tesla\nC. 9.66 x 10^(-4) Tesla\nD. 3.45 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 31 cm and 504 turns is carrying a current of 2 A. Calculate the magnetic field at a point located on the axis of the toroid, 30 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.42 x 10^(-4) Tesla\nB. 7.74 x 10^(-4) Tesla\nC. 6.72 x 10^(-4) Tesla\nD. 2.17 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 42 cm and 573 turns is carrying a current of 4 A. Calculate the magnetic field at a point located on the axis of the toroid, 38 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 13.11 x 10^(-4) Tesla\nB. 12.06 x 10^(-4) Tesla\nC. 66.96 x 10^(-4) Tesla\nD. 88.76 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 64 cm and 441 turns is carrying a current of 2 A. Calculate the magnetic field at a point located on the axis of the toroid, 62 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.53 x 10^(-4) Tesla\nB. 2.53 x 10^(-4) Tesla\nC. 2.85 x 10^(-4) Tesla\nD. 5.14 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A toroid with a radius of 93 cm and 426 turns is carrying a current of 3 A. Calculate the magnetic field at a point located on the axis of the toroid, 90 cm away from the center. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.21 x 10^(-4) Tesla\nB. 8.28 x 10^(-4) Tesla\nC. 5.61 x 10^(-4) Tesla\nD. 2.84 x 10^(-4) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 30 cm carries a current of 5 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 53 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.7 x 10^(-6) Tesla\nB. 3.78 x 10^(-6) Tesla\nC. 1.25 x 10^(-6) Tesla\nD. 8.36 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 81 cm carries a current of 3 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 11 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.93 x 10^(-6) Tesla\nB. 2.26 x 10^(-6) Tesla\nC. 7.47 x 10^(-6) Tesla\nD. 1.86 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 68 cm carries a current of 5 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 76 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.42 x 10^(-6) Tesla\nB. 4.27 x 10^(-6) Tesla\nC. 9.53 x 10^(-6) Tesla\nD. 1.37 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 28 cm carries a current of 9 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 78 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.73 x 10^(-6) Tesla\nB. 0.6 x 10^(-6) Tesla\nC. 0.78 x 10^(-6) Tesla\nD. 0.3 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 94 cm carries a current of 9 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 89 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 6.82 x 10^(-6) Tesla\nB. 7.46 x 10^(-6) Tesla\nC. 5.44 x 10^(-6) Tesla\nD. 2.3 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 44 cm carries a current of 4 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 78 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.69 x 10^(-6) Tesla\nB. 0.1 x 10^(-6) Tesla\nC. 0.68 x 10^(-6) Tesla\nD. 0.66 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 99 cm carries a current of 6 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 62 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.32 x 10^(-6) Tesla\nB. 9.28 x 10^(-6) Tesla\nC. 3.36 x 10^(-6) Tesla\nD. 3.96 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 62 cm carries a current of 4 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 16 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.39 x 10^(-6) Tesla\nB. 4.9 x 10^(-6) Tesla\nC. 1.96 x 10^(-6) Tesla\nD. 3.68 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 63 cm carries a current of 1 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 50 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.56 x 10^(-6) Tesla\nB. 0.48 x 10^(-6) Tesla\nC. 0.6 x 10^(-6) Tesla\nD. 0.37 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular loop of radius 20 cm carries a current of 4 A. What is the magnetic field at a point on the axis of the loop, which is at a distance of 56 cm from the center of the loop? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.7 x 10^(-6) Tesla\nB. 0.48 x 10^(-6) Tesla\nC. 0.42 x 10^(-6) Tesla\nD. 0.45 x 10^(-6) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 8 m carries a current of 8 A. Find the magnetic field at a distance of 4 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.0 x 10^(-5) Tesla\nB. 9.26 x 10^(-5) Tesla\nC. 4.22 x 10^(-5) Tesla\nD. 9.44 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 9 m carries a current of 8 A. Find the magnetic field at a distance of 5 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.26 x 10^(-5) Tesla\nB. 3.2 x 10^(-5) Tesla\nC. 9.4 x 10^(-5) Tesla\nD. 1.72 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 7 m carries a current of 7 A. Find the magnetic field at a distance of 9 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.46 x 10^(-5) Tesla\nB. 1.56 x 10^(-5) Tesla\nC. 2.13 x 10^(-5) Tesla\nD. 9.54 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 4 m carries a current of 4 A. Find the magnetic field at a distance of 1 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.25 x 10^(-5) Tesla\nB. 8.0 x 10^(-5) Tesla\nC. 9.32 x 10^(-5) Tesla\nD. 3.16 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 2 m carries a current of 3 A. Find the magnetic field at a distance of 4 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.2 x 10^(-5) Tesla\nB. 6.61 x 10^(-5) Tesla\nC. 3.55 x 10^(-5) Tesla\nD. 1.5 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 9 m carries a current of 9 A. Find the magnetic field at a distance of 9 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 6.47 x 10^(-5) Tesla\nB. 7.47 x 10^(-5) Tesla\nC. 2.0 x 10^(-5) Tesla\nD. 4.41 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 7 m carries a current of 2 A. Find the magnetic field at a distance of 9 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.25 x 10^(-5) Tesla\nB. 0.44 x 10^(-5) Tesla\nC. 0.18 x 10^(-5) Tesla\nD. 0.62 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 2 m carries a current of 2 A. Find the magnetic field at a distance of 6 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.15 x 10^(-5) Tesla\nB. 0.15 x 10^(-5) Tesla\nC. 0.41 x 10^(-5) Tesla\nD. 0.67 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 7 m carries a current of 2 A. Find the magnetic field at a distance of 3 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.65 x 10^(-5) Tesla\nB. 5.7 x 10^(-5) Tesla\nC. 4.37 x 10^(-5) Tesla\nD. 1.33 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A straight wire of length 8 m carries a current of 4 A. Find the magnetic field at a distance of 3 cm from the wire. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.67 x 10^(-5) Tesla\nB. 9.99 x 10^(-5) Tesla\nC. 5.19 x 10^(-5) Tesla\nD. 3.76 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 4 cm has 57 turns, and carries a current of 4 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.25 x 10^(-3) Tesla\nB. 6.0 x 10^(-3) Tesla\nC. 5.15 x 10^(-3) Tesla\nD. 1.14 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 9 cm has 44 turns, and carries a current of 9 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.88 x 10^(-3) Tesla\nB. 0.4 x 10^(-3) Tesla\nC. 0.9 x 10^(-3) Tesla\nD. 0.96 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 4 cm has 36 turns, and carries a current of 4 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.38 x 10^(-3) Tesla\nB. 1.0 x 10^(-3) Tesla\nC. 0.75 x 10^(-3) Tesla\nD. 0.72 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 3 cm has 94 turns, and carries a current of 7 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.92 x 10^(-3) Tesla\nB. 1.4 x 10^(-3) Tesla\nC. 4.39 x 10^(-3) Tesla\nD. 5.88 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 2 cm has 77 turns, and carries a current of 8 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 4.78 x 10^(-3) Tesla\nB. 4.62 x 10^(-3) Tesla\nC. 5.41 x 10^(-3) Tesla\nD. 6.16 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 6 cm has 95 turns, and carries a current of 4 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 7.64 x 10^(-3) Tesla\nB. 4.52 x 10^(-3) Tesla\nC. 1.27 x 10^(-3) Tesla\nD. 1.9 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 5 cm has 55 turns, and carries a current of 6 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.42 x 10^(-3) Tesla\nB. 2.98 x 10^(-3) Tesla\nC. 7.25 x 10^(-3) Tesla\nD. 1.32 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 3 cm has 51 turns, and carries a current of 1 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.34 x 10^(-3) Tesla\nB. 0.88 x 10^(-3) Tesla\nC. 0.95 x 10^(-3) Tesla\nD. 0.75 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 2 cm has 83 turns, and carries a current of 6 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 5.7 x 10^(-3) Tesla\nB. 4.98 x 10^(-3) Tesla\nC. 4.54 x 10^(-3) Tesla\nD. 7.81 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A circular coil of radius 6 cm has 17 turns, and carries a current of 4 A. Calculate the magnitude and direction of the magnetic field at the center of the coil. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.7 x 10^(-3) Tesla\nB. 0.23 x 10^(-3) Tesla\nC. 0.22 x 10^(-3) Tesla\nD. 0.69 x 10^(-3) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 58 cm long straight rod carries a current of 7 A. Calculate the magnetic field strength at a point located 7 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 9.57 x 10^(-5) Tesla\nB. 6.46 x 10^(-5) Tesla\nC. 2.36 x 10^(-5) Tesla\nD. 1.94 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 158 cm long straight rod carries a current of 1 A. Calculate the magnetic field strength at a point located 1 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 3.21 x 10^(-5) Tesla\nB. 4.63 x 10^(-5) Tesla\nC. 2.0 x 10^(-5) Tesla\nD. 1.17 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 48 cm long straight rod carries a current of 9 A. Calculate the magnetic field strength at a point located 9 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 1.85 x 10^(-5) Tesla\nB. 8.71 x 10^(-5) Tesla\nC. 5.84 x 10^(-5) Tesla\nD. 1.87 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 60 cm long straight rod carries a current of 1 A. Calculate the magnetic field strength at a point located 6 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.88 x 10^(-5) Tesla\nB. 0.16 x 10^(-5) Tesla\nC. 0.34 x 10^(-5) Tesla\nD. 0.33 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 32 cm long straight rod carries a current of 7 A. Calculate the magnetic field strength at a point located 7 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.35 x 10^(-5) Tesla\nB. 1.58 x 10^(-5) Tesla\nC. 2.76 x 10^(-5) Tesla\nD. 1.83 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 26 cm long straight rod carries a current of 2 A. Calculate the magnetic field strength at a point located 7 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.88 x 10^(-5) Tesla\nB. 0.5 x 10^(-5) Tesla\nC. 0.22 x 10^(-5) Tesla\nD. 0.14 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 60 cm long straight rod carries a current of 8 A. Calculate the magnetic field strength at a point located 4 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.76 x 10^(-5) Tesla\nB. 8.57 x 10^(-5) Tesla\nC. 6.24 x 10^(-5) Tesla\nD. 3.96 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 170 cm long straight rod carries a current of 5 A. Calculate the magnetic field strength at a point located 7 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 2.63 x 10^(-5) Tesla\nB. 8.76 x 10^(-5) Tesla\nC. 3.93 x 10^(-5) Tesla\nD. 1.42 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 26 cm long straight rod carries a current of 8 A. Calculate the magnetic field strength at a point located 8 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 8.73 x 10^(-5) Tesla\nB. 8.84 x 10^(-5) Tesla\nC. 4.73 x 10^(-5) Tesla\nD. 1.7 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 98 cm long straight rod carries a current of 2 A. Calculate the magnetic field strength at a point located 7 cm away from the center of the rod. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : \\mu_0 = 1.26 * 10^(-6) V\u00b7s/(A\u00b7m)\n\nA. 0.57 x 10^(-5) Tesla\nB. 0.73 x 10^(-5) Tesla\nC. 0.34 x 10^(-5) Tesla\nD. 0.24 x 10^(-5) Tesla\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Electromagnetism", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 47 and 65 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.43e-13\nB. 8.61e-14\nC. 5.58e-13\nD. 9.65e-13\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 35 and 23 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.27e-14\nB. 4.14e-13\nC. 6.95e-13\nD. 4.55e-13\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 81 and 85 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.58e-13\nB. 2.13e-13\nC. 1.94e-13\nD. 9.66e-13\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 83 and 54 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.26e-13\nB. 3.97e-13\nC. 4.61e-13\nD. 5.64e-13\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 83 and 26 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.09e-14\nB. 1.12e-13\nC. 7.04e-13\nD. 2.92e-13\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 79 and 81 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.15e-13\nB. 4.22e-13\nC. 1.80e-13\nD. 3.87e-13\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 61 and 84 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.44e-13\nB. 9.0e-13\nC. 6.14e-13\nD. 3.18e-13\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 24 and 15 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.02e-14\nB. 1.31e-13\nC. 6.13e-13\nD. 8.79e-13\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 55 and 28 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.15e-13\nB. 8.58e-13\nC. 4.34e-14\nD. 1.49e-13\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with masses of 42 and 88 solar masses at a distance of 10 Mpc from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.07e-13\nB. 9.7e-13\nC. 1.04e-13\nD. 4.5e-13\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 91 solar masses and an orbital separation of 89426 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.73e-31\nB. 4.85e-31\nC. 8.45e-31\nD. 9.52e-31\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 86 solar masses and an orbital separation of 45056 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.03e-31\nB. 3.35e-30\nC. 2.49e-31\nD. 2.53e-31\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 38 solar masses and an orbital separation of 98468 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.15e-31\nB. 4.53e-31\nC. 8.92e-31\nD. 1.37e-31\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 43 solar masses and an orbital separation of 55304 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.87e-31\nB. 1.08e-31\nC. 4.72e-31\nD. 5.56e-31\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 68 solar masses and an orbital separation of 85373 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.97e-31\nB. 8.14e-31\nC. 2.99e-31\nD. 5.84e-31\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 87 solar masses and an orbital separation of 71657 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.66e-31\nB. 8.89e-31\nC. 1.36e-30\nD. 2.97e-31\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 26 solar masses and an orbital separation of 46139 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.01e-31\nB. 2.92e-31\nC. 5.62e-31\nD. 9.64e-31\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 50 solar masses and an orbital separation of 59853 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.7e-31\nB. 2.38e-31\nC. 9.9e-31\nD. 6.42e-31\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 95 solar masses and an orbital separation of 47323 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.71e-30\nB. 8.93e-31\nC. 1.82e-31\nD. 2.23e-31\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amplitude of gravitational waves produced by a binary black hole system with a total mass of 11 solar masses and an orbital separation of 89334 km, assuming the system is observed from a distance of 1 billion light-years away? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s ;light year = 9.461e15 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.36e-31\nB. 1.39e-32\nC. 5.87e-31\nD. 3.69e-31\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 3.1 solar masses each, orbiting each other at a distance of 12 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7262 Hz\nB. 19658 Hz\nC. 5658 Hz\nD. 5433 Hz\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 1.5 solar masses each, orbiting each other at a distance of 39 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2334 Hz\nB. 7503 Hz\nC. 9877 Hz\nD. 2468 Hz\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 4.7 solar masses each, orbiting each other at a distance of 43 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3777 Hz\nB. 9910 Hz\nC. 7331 Hz\nD. 3569 Hz\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 2.4 solar masses each, orbiting each other at a distance of 39 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2952 Hz\nB. 8439 Hz\nC. 7887 Hz\nD. 1875 Hz\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 3.9 solar masses each, orbiting each other at a distance of 68 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3562 Hz\nB. 3565 Hz\nC. 6079 Hz\nD. 1635 Hz\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 5.0 solar masses each, orbiting each other at a distance of 73 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9963 Hz\nB. 2359 Hz\nC. 2686 Hz\nD. 1664 Hz\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 8.6 solar masses each, orbiting each other at a distance of 27 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3038 Hz\nB. 9702 Hz\nC. 4017 Hz\nD. 9004 Hz\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 3.1 solar masses each, orbiting each other at a distance of 90 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5315 Hz\nB. 4799 Hz\nC. 957 Hz\nD. 2961 Hz\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 1.2 solar masses each, orbiting each other at a distance of 53 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1318 Hz\nB. 2415 Hz\nC. 6109 Hz\nD. 4335 Hz\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by two neutron stars with masses of 2.1 solar masses each, orbiting each other at a distance of 56 km, just before they collide and merge into a black hole? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1462 Hz\nB. 9962 Hz\nC. 1605 Hz\nD. 5634 Hz\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 7.2 and 5.3 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 39 Hz\nB. 75 Hz\nC. 31 Hz\nD. 92 Hz\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 1.8 and 2.8 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 65 Hz\nB. 49 Hz\nC. 28 Hz\nD. 42 Hz\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 1.8 and 8.1 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 63 Hz\nB. 14 Hz\nC. 51 Hz\nD. 34 Hz\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 1.5 and 2.5 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 70 Hz\nB. 71 Hz\nC. 74 Hz\nD. 92 Hz\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 6.9 and 4.6 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 39 Hz\nB. 65 Hz\nC. 41 Hz\nD. 34 Hz\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 7.7 and 8.9 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 43 Hz\nB. 14 Hz\nC. 49 Hz\nD. 34 Hz\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 9.2 and 8.2 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 16 Hz\nB. 33 Hz\nC. 52 Hz\nD. 49 Hz\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 5.4 and 1.8 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 16 Hz\nB. 55 Hz\nC. 29 Hz\nD. 21 Hz\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 2.6 and 2.1 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 82 Hz\nB. 35 Hz\nC. 63 Hz\nD. 21 Hz\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the frequency of gravitational waves emitted by a neutron star merger with masses of 4.0 and 8.5 times the mass of the sun, located 130 million light-years away from Earth? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 12 Hz\nB. 85 Hz\nC. 37 Hz\nD. 40 Hz\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 5.5 solar masses, assuming a distance of 33 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.01e+39 J\nB. 3.78e+39 J\nC. 2.35e+39 J\nD. 2.29e+39 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 6.6 solar masses, assuming a distance of 99 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.31e+39 J\nB. 1.1e+39 J\nC. 1.13e+39 J\nD. 5.05e+39 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 7.5 solar masses, assuming a distance of 14 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.31e+39 J\nB. 5.65e+39 J\nC. 5.2e+39 J\nD. 1.03e+40 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 6.3 solar masses, assuming a distance of 32 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.51e+39 J\nB. 5.18e+39 J\nC. 3.18e+39 J\nD. 4.3e+39 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 5.5 solar masses, assuming a distance of 13 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.93e+39 J\nB. 4.91e+39 J\nC. 3.96e+39 J\nD. 5.97e+39 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 8.3 solar masses, assuming a distance of 14 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.16e+39 J\nB. 1.26e+40 J\nC. 9.93e+39 J\nD. 8.95e+39 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 5.3 solar masses, assuming a distance of 45 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.60e+39 J\nB. 2.54e+39 J\nC. 4.04e+39 J\nD. 2.58e+39 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 2.5 solar masses, assuming a distance of 32 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.27e+39 J\nB. 4.62e+39 J\nC. 5.01e+38 J\nD. 5.38e+39 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 2.9 solar masses, assuming a distance of 92 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.35e+38 J\nB. 7.39e+39 J\nC. 9.39e+39 J\nD. 7.48e+39 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the estimated energy emitted in gravitational waves by a supernova explosion of a star with an initial mass of 3.1 solar masses, assuming a distance of 13 kpc from Earth and a duration of the burst of 1 second? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.90e+39 J\nB. 9.68e+39 J\nC. 5.69e+39 J\nD. 4.05e+39 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 85 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 1.5 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.28e+47 J\nB. 4.76e+47 J\nC. 3.46e+47 J\nD. 2.69e+46 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 80 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 3.1 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.55e+46 J\nB. 8.82e+47 J\nC. 9.54e+47 J\nD. 1.02e+47 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 56 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 5.3 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.52e+47 J\nB. 9.49e+46 J\nC. 2.46e+47 J\nD. 4.25e+47 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 22 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 6.0 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.44e+47 J\nB. 5.79e+47 J\nC. 6.77e+47 J\nD. 1.07e+47 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 78 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 9.7 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.74e+47 J\nB. 7.98e+47 J\nC. 4.35e+47 J\nD. 3.68e+47 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 18 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 6.6 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.68e+47 J\nB. 6.38e+47 J\nC. 6.56e+47 J\nD. 1.18e+47 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 89 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 3.5 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.27e+46 J\nB. 3.92e+47 J\nC. 9.8e+47 J\nD. 5.23e+47 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 46 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 6.1 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.1e+47 J\nB. 7.61e+47 J\nC. 1.09e+47 J\nD. 5.02e+47 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 55 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 6.5 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.16e+47 J\nB. 9.93e+47 J\nC. 2.45e+47 J\nD. 3.01e+47 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the total amount of energy released in the form of gravitational waves by a supernova explosion that occurred at a distance of 34 Mpc from Earth, assuming the explosion released 1% of its mass in gravitational waves, and the initial mass of the core was 8.0 times that of the sun? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.16e+47 J\nB. 5.85e+47 J\nC. 1.43e+47 J\nD. 4.03e+47 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "2.222222222222222\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 926 Hz, and with a tension of 2x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 378 Hz 7.7e-43\nB. 316 Hz 6.23e-43\nC. 1852 Hz 1.74e-43\nD. 331 Hz 1.16e-43\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "2.222222222222222\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 961 Hz, and with a tension of 2x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 706 Hz 7.11e-43\nB. 1922 Hz 1.74e-43\nC. 974 Hz 1.47e-43\nD. 734 Hz 1.66e-43\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "6.666666666666667\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 839 Hz, and with a tension of 6x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 195 Hz 4.54e-43\nB. 850 Hz 1.64e-43\nC. 878 Hz 8.81e-43\nD. 1678 Hz 5.23e-43\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "4.444444444444444\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 326 Hz, and with a tension of 4x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 397 Hz 8.84e-43\nB. 652 Hz 3.48e-43\nC. 493 Hz 7.5e-43\nD. 151 Hz 5.63e-43\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "10.0\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 693 Hz, and with a tension of 9x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 570 Hz 5.73e-43\nB. 1386 Hz 7.84e-43\nC. 977 Hz 2.52e-43\nD. 222 Hz 9.84e-43\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "5.555555555555556\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 284 Hz, and with a tension of 5x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 786 Hz 5.49e-43\nB. 568 Hz 4.35e-43\nC. 337 Hz 5.77e-43\nD. 425 Hz 6.04e-43\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "5.555555555555556\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 697 Hz, and with a tension of 5x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 264 Hz 3.25e-43\nB. 427 Hz 6.32e-43\nC. 1394 Hz 4.35e-43\nD. 139 Hz 1.5e-43\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "10.0\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 698 Hz, and with a tension of 9x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 568 Hz 2.93e-43\nB. 214 Hz 8.0e-43\nC. 565 Hz 6.19e-43\nD. 1396 Hz 7.84e-43\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "2.222222222222222\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 239 Hz, and with a tension of 2x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 504 Hz 5.73e-43\nB. 643 Hz 8.36e-43\nC. 478 Hz 1.74e-43\nD. 629 Hz 9.66e-43\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "8.888888888888888\nWhat would be the expected frequency and amplitude of gravitational waves emitted by a cosmic string network consisting of a 100-kilometer string length, oscillating at a frequency of 355 Hz, and with a tension of 8x10^17 N? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 511 Hz 4.05e-43\nB. 710 Hz 6.97e-43\nC. 708 Hz 4.72e-43\nD. 308 Hz 6.01e-43\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 6.9 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 15638 Hz 6.63e-11\nB. 22381 Hz 3.13e-11\nC. 22933 Hz 2.75e-11\nD. 94284 Hz 9.64e-11\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 6.0 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 26373 Hz 2.48e-11\nB. 82209 Hz 3.04e-11\nC. 21496 Hz 4.92e-11\nD. 67156 Hz 5.69e-11\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 6.4 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 24725 Hz 2.60e-11\nB. 38524 Hz 1.83e-11\nC. 89256 Hz 5.82e-11\nD. 26956 Hz 9.43e-11\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 6.4 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 24725 Hz 2.60e-11\nB. 58282 Hz 1.38e-11\nC. 76129 Hz 2.61e-11\nD. 30844 Hz 5.53e-11\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 3.9 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 63235 Hz 7.84e-11\nB. 40575 Hz 1.79e-11\nC. 61730 Hz 9.2e-11\nD. 52328 Hz 5.11e-11\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 4.0 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 16467 Hz 8.47e-11\nB. 93866 Hz 1.58e-11\nC. 39560 Hz 1.83e-11\nD. 73317 Hz 6.73e-11\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 8.7 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 44727 Hz 9.69e-11\nB. 75030 Hz 2.99e-11\nC. 18189 Hz 3.27e-11\nD. 92896 Hz 8.43e-11\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 7.6 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 20821 Hz 2.96e-11\nB. 35507 Hz 4.57e-11\nC. 39238 Hz 4.85e-11\nD. 75123 Hz 1.92e-11\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 9.6 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 88924 Hz 1.77e-11\nB. 16483 Hz 3.52e-11\nC. 62086 Hz 8.89e-11\nD. 49455 Hz 5.12e-11\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the calculated frequency and amplitude of the gravitational waves produced by a binary neutron star system with a total mass of 4.2 solar masses and located 130 million light-years away, given a waveform data set acquired by the LIGO detector during the GW170817 event? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravitation constant : G = 6.674e-11 N\u00b7m^2/kg^2 ;pc = 3.086e16 m ; light year = 9.461e15 ; solar mass = 1.989e30 kg ; velocity of light: c = 3e8 m/s. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 11971 Hz 3.55e-11\nB. 20558 Hz 4.39e-11\nC. 82313 Hz 8.78e-11\nD. 37676 Hz 1.90e-11\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Gravitational_waves", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 6 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2 s\nB. 2 s\nC. 6 s\nD. 1 s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 3 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3 s\nB. 2 s\nC. 3 s\nD. 5 s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 7 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3 s\nB. 1 s\nC. 1 s\nD. 7 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 1 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1 s\nB. 2 s\nC. 8 s\nD. 4 s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 2 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3 s\nB. 9 s\nC. 2 s\nD. 7 s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 8 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6 s\nB. 8 s\nC. 2 s\nD. 1 s\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 2 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8 s\nB. 2 s\nC. 4 s\nD. 8 s\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 4 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8 s\nB. 9 s\nC. 2 s\nD. 4 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 8 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1 s\nB. 7 s\nC. 8 s\nD. 3 s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the confinement time of a plasma in a tokamak fusion reactor having a magnetic field strength of 5 tesla and a plasma density of 10^20 particles/m^3. The temperature of the plasma is 100 million degrees Celsius and its energy confinement time is 3 seconds. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7 s\nB. 8 s\nC. 3 s\nD. 6 s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 5.46 MHz and a plasma frequency of 9.26 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 15.46 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.17e+10 m^-3 6.21e+11 m^-3\nB. 6.03e+10 m^-3 9.42e+11 m^-3\nC. 9.39e+09 m^-3 7.53e+10 m^-3\nD. 9.61e+10 m^-3 9.16e+11 m^-3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 6.88 MHz and a plasma frequency of 9.07 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 16.88 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.34e+10 m^-3 4.88e+11 m^-3\nB. 1.49e+10 m^-3 8.97e+10 m^-3\nC. 9.28e+10 m^-3 8.62e+11 m^-3\nD. 4.14e+10 m^-3 3.5e+11 m^-3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 7.49 MHz and a plasma frequency of 5.92 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 17.490000000000002 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.98e+10 m^-3 1.81e+11 m^-3\nB. 8.66e+10 m^-3 9.59e+11 m^-3\nC. 1.77e+10 m^-3 9.63e+10 m^-3\nD. 9.87e+10 m^-3 7.46e+11 m^-3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 3.25 MHz and a plasma frequency of 6.48 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 13.25 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.99e+10 m^-3 8.53e+11 m^-3\nB. 3.15e+10 m^-3 1.4e+11 m^-3\nC. 7.23e+10 m^-3 5.76e+11 m^-3\nD. 3.33e+09 m^-3 5.53e+10 m^-3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 10.0 MHz and a plasma frequency of 2.52 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 20.0 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.15e+10 m^-3 1.26e+11 m^-3\nB. 2.78e+10 m^-3 8.45e+11 m^-3\nC. 5.24e+10 m^-3 3.33e+11 m^-3\nD. 5.75e+10 m^-3 4.7e+11 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 6.85 MHz and a plasma frequency of 4.53 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 16.85 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.74e+10 m^-3 3.41e+11 m^-3\nB. 7.61e+10 m^-3 6.54e+11 m^-3\nC. 6.15e+10 m^-3 3.04e+11 m^-3\nD. 1.48e+10 m^-3 8.94e+10 m^-3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 3.34 MHz and a plasma frequency of 7.24 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 13.34 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.02e+10 m^-3 7.88e+11 m^-3\nB. 4.43e+10 m^-3 9.37e+11 m^-3\nC. 1.19e+10 m^-3 2.83e+11 m^-3\nD. 3.51e+09 m^-3 5.60e+10 m^-3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 8.94 MHz and a plasma frequency of 5.81 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 18.939999999999998 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.52e+10 m^-3 1.13e+11 m^-3\nB. 3.75e+10 m^-3 1.64e+11 m^-3\nC. 7.84e+10 m^-3 1.15e+11 m^-3\nD. 6.53e+10 m^-3 5.9e+11 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 8.25 MHz and a plasma frequency of 8.11 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 18.25 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.14e+10 m^-3 1.05e+11 m^-3\nB. 8.03e+10 m^-3 4.61e+11 m^-3\nC. 5.44e+10 m^-3 3.06e+11 m^-3\nD. 2.61e+10 m^-3 2.35e+11 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an electromagnetic wave frequency of 8.72 MHz and a plasma frequency of 3.88 MHz? How does this density change if the frequency of the electromagnetic wave is increased to 18.72 MHz? Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.48e+10 m^-3 9.63e+11 m^-3\nB. 3.32e+10 m^-3 4.69e+11 m^-3\nC. 2.39e+10 m^-3 1.10e+11 m^-3\nD. 2.73e+10 m^-3 7.33e+11 m^-3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 8 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5 x 10^18 m^-3\nB. 8 x 10^18 m^-3\nC. 8 x 10^18 m^-3\nD. 4 x 10^18 m^-3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 3 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3 x 10^18 m^-3\nB. 2 x 10^18 m^-3\nC. 7 x 10^18 m^-3\nD. 7 x 10^18 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 9 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5 x 10^18 m^-3\nB. 9 x 10^18 m^-3\nC. 5 x 10^18 m^-3\nD. 1 x 10^18 m^-3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 1 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4 x 10^18 m^-3\nB. 1 x 10^18 m^-3\nC. 4 x 10^18 m^-3\nD. 1 x 10^18 m^-3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 3 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3 x 10^18 m^-3\nB. 3 x 10^18 m^-3\nC. 3 x 10^18 m^-3\nD. 6 x 10^18 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 3 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2 x 10^18 m^-3\nB. 9 x 10^18 m^-3\nC. 3 x 10^18 m^-3\nD. 4 x 10^18 m^-3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 9 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3 x 10^18 m^-3\nB. 9 x 10^18 m^-3\nC. 3 x 10^18 m^-3\nD. 7 x 10^18 m^-3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 6 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7 x 10^18 m^-3\nB. 2 x 10^18 m^-3\nC. 3 x 10^18 m^-3\nD. 6 x 10^18 m^-3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 8 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8 x 10^18 m^-3\nB. 9 x 10^18 m^-3\nC. 7 x 10^18 m^-3\nD. 5 x 10^18 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density in a plasma with an ion density of 7 x 10^18 m^-3 and an electron-ion temperature ratio of 1? The plasma is assumed to be in equilibrium and the ions are singly charged. Please express your answer in m^-3. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7 x 10^18 m^-3\nB. 7 x 10^18 m^-3\nC. 7 x 10^18 m^-3\nD. 3 x 10^18 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 5.7 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.04e+17 m^-3\nB. 4.28e+18 m^-3\nC. 8.65e+18 m^-3\nD. 4.21e+18 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 8.8 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.39e+18 m^-3\nB. 3.0e+18 m^-3\nC. 4.64e+18 m^-3\nD. 9.63e+17 m^-3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 5.2 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.49e+18 m^-3\nB. 4.62e+18 m^-3\nC. 3.47e+18 m^-3\nD. 3.36e+17 m^-3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 6.3 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.93e+17 m^-3\nB. 6.63e+18 m^-3\nC. 4.94e+18 m^-3\nD. 6.02e+18 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 7.5 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.19e+18 m^-3\nB. 2.96e+18 m^-3\nC. 6.99e+17 m^-3\nD. 7.71e+18 m^-3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 3.4 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.44e+17 m^-3\nB. 7.46e+18 m^-3\nC. 4.47e+18 m^-3\nD. 1.29e+18 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 4.1 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.05e+18 m^-3\nB. 2.09e+17 m^-3\nC. 8.73e+18 m^-3\nD. 8.27e+18 m^-3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 6.4 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.18e+18 m^-3\nB. 6.07e+18 m^-3\nC. 8.9e+18 m^-3\nD. 5.09e+17 m^-3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 1.1 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.08e+18 m^-3\nB. 9.43e+18 m^-3\nC. 1.50e+16 m^-3\nD. 4.15e+18 m^-3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the electron density of a plasma with an estimated temperature of 10 eV, assuming a neutral gas pressure of 100 Pa and a measured plasma frequency of 2.7 GHz using a Langmuir probe? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.59e+18 m^-3\nB. 6.24e+18 m^-3\nC. 4.15e+18 m^-3\nD. 9.06e+16 m^-3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 2.8 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.64e+09 m^-3\nB. 1.65e+09 m^-3\nC. 3.31e+09 m^-3\nD. 2.47e+09 m^-3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 2.5 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.4e+09 m^-3\nB. 2.36e+09 m^-3\nC. 1.97e+09 m^-3\nD. 6.62e+09 m^-3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 5.6 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.92e+09 m^-3\nB. 9.88e+09 m^-3\nC. 9.29e+09 m^-3\nD. 2.56e+09 m^-3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 2.5 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.59e+09 m^-3\nB. 1.97e+09 m^-3\nC. 3.67e+09 m^-3\nD. 1.29e+09 m^-3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 4.8 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.26e+09 m^-3\nB. 8.46e+09 m^-3\nC. 3.49e+09 m^-3\nD. 3.89e+09 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 3.9 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.79e+09 m^-3\nB. 5.62e+09 m^-3\nC. 3.5e+09 m^-3\nD. 4.57e+09 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 8.1 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.21e+09 m^-3\nB. 1.13e+09 m^-3\nC. 2.07e+10 m^-3\nD. 5.79e+09 m^-3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 4.0 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.04e+09 m^-3\nB. 5.05e+09 m^-3\nC. 2.34e+09 m^-3\nD. 8.78e+09 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 9.0 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.43e+09 m^-3\nB. 2.55e+10 m^-3\nC. 1.43e+09 m^-3\nD. 8.49e+09 m^-3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of an argon plasma with a temperature of 15,000 Kelvin, an electron temperature of 10,000 Kelvin, and a plasma frequency of 4.3 MHz? Use the formula for plasma density, n = (\u03b5_0 * m_e * \u03c9_p^2) / (e^2), where \u03b5_0 is the vacuum permittivity, m_e is the mass of the electron, \u03c9_p is the plasma frequency, and e is the elementary charge. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.82e+09 m^-3\nB. 7.68e+09 m^-3\nC. 9.49e+09 m^-3\nD. 7.29e+09 m^-3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 29 electron volts and an electron number density of 3.4e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.47e-27 kg/m^3\nB. 7.94e-27 kg/m^3\nC. 5.83e-27 kg/m^3\nD. 5.69e-27 kg/m^3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 41 electron volts and an electron number density of 9.3e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.17e-27 kg/m^3\nB. 6.55e-27 kg/m^3\nC. 1.56e-26 kg/m^3\nD. 4.05e-27 kg/m^3\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 40 electron volts and an electron number density of 2.6e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.35e-27 kg/m^3\nB. 1.04e-27 kg/m^3\nC. 5.5e-27 kg/m^3\nD. 7.59e-27 kg/m^3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 33 electron volts and an electron number density of 9.4e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.37e-27 kg/m^3\nB. 1.57e-26 kg/m^3\nC. 7.9e-27 kg/m^3\nD. 7.85e-27 kg/m^3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 36 electron volts and an electron number density of 2.0e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.38e-27 kg/m^3\nB. 8.04e-27 kg/m^3\nC. 2.29e-27 kg/m^3\nD. 3.35e-27 kg/m^3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 43 electron volts and an electron number density of 8.2e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.37e-26 kg/m^3\nB. 4.73e-27 kg/m^3\nC. 6.83e-27 kg/m^3\nD. 9.44e-27 kg/m^3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 98 electron volts and an electron number density of 3.9e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.3e-27 kg/m^3\nB. 6.11e-27 kg/m^3\nC. 4.17e-27 kg/m^3\nD. 6.53e-27 kg/m^3\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 11 electron volts and an electron number density of 2.4e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.02e-27 kg/m^3\nB. 1.28e-27 kg/m^3\nC. 8.26e-27 kg/m^3\nD. 8.2e-27 kg/m^3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 95 electron volts and an electron number density of 2.9e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.85e-27 kg/m^3\nB. 8.48e-27 kg/m^3\nC. 1.21e-27 kg/m^3\nD. 1.32e-27 kg/m^3\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the density of a plasma with a temperature of 52 electron volts and an electron number density of 9.6e+19 m^-3? Use the Saha equation to determine the ionization state of the plasma assuming it consists of only hydrogen atoms. Please note that the following content involves constants might be used in the calculations : Vacuum tolerance \u03b5 = 8.85e-12 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C ; proton mass m_p = 1.673e-27 kg ; neutral hydrogen atom mass m_h = 1.673e-27 kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.9e-27 kg/m^3\nB. 1.61e-26 kg/m^3\nC. 6.64e-27 kg/m^3\nD. 6.09e-27 kg/m^3\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 3e+19 m^-3 and a temperature of 4 eV. The plasma has a cross-sectional area of 7 m^2 and a length of 8 m. The resistivity of the plasma is 1.8000000000000002e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.58e+19 W\nB. 4.69e+20 W\nC. 2.97e+20 W\nD. 2.5e+20 W\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 2.3e+19 m^-3 and a temperature of 7 eV. The plasma has a cross-sectional area of 1 m^2 and a length of 3 m. The resistivity of the plasma is 1.4e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.61e+20 W\nB. 9.87e+20 W\nC. 3.44e+18 W\nD. 7.9e+20 W\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 9.5e+19 m^-3 and a temperature of 5 eV. The plasma has a cross-sectional area of 2 m^2 and a length of 3 m. The resistivity of the plasma is 3.0000000000000004e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.16e+20 W\nB. 5.46e+20 W\nC. 1.28e+20 W\nD. 8.01e+20 W\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 4.2e+19 m^-3 and a temperature of 4 eV. The plasma has a cross-sectional area of 1 m^2 and a length of 4 m. The resistivity of the plasma is 8.199999999999999e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.98e+20 W\nB. 5.59e+20 W\nC. 3.48e+20 W\nD. 2.92e+19 W\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 9.3e+19 m^-3 and a temperature of 3 eV. The plasma has a cross-sectional area of 1 m^2 and a length of 4 m. The resistivity of the plasma is 3.6000000000000005e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.93e+20 W\nB. 3.54e+19 W\nC. 4.12e+20 W\nD. 5.42e+20 W\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 9e+19 m^-3 and a temperature of 6 eV. The plasma has a cross-sectional area of 9 m^2 and a length of 1 m. The resistivity of the plasma is 9.7e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.43e+20 W\nB. 6.22e+20 W\nC. 4.12e+20 W\nD. 8.04e+20 W\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 5.1e+19 m^-3 and a temperature of 5 eV. The plasma has a cross-sectional area of 7 m^2 and a length of 9 m. The resistivity of the plasma is 9.300000000000001e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.20e+21 W\nB. 5.59e+20 W\nC. 8.32e+20 W\nD. 8.35e+20 W\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 6.2e+19 m^-3 and a temperature of 2 eV. The plasma has a cross-sectional area of 6 m^2 and a length of 5 m. The resistivity of the plasma is 4.8e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.45e+20 W\nB. 6.99e+19 W\nC. 5.12e+20 W\nD. 2.95e+20 W\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 7e+19 m^-3 and a temperature of 9 eV. The plasma has a cross-sectional area of 4 m^2 and a length of 8 m. The resistivity of the plasma is 8.199999999999999e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.18e+20 W\nB. 4.56e+20 W\nC. 3.29e+21 W\nD. 2.12e+20 W\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the power required for ohmic heating in a plasma with a density of 9e+19 m^-3 and a temperature of 5 eV. The plasma has a cross-sectional area of 4 m^2 and a length of 3 m. The resistivity of the plasma is 2.8999999999999998e-08 \u03a9m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.71e+20 W\nB. 2.23e+20 W\nC. 9.9e+20 W\nD. 7.11e+20 W\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 1 Tesla and a frequency of 35 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 9e+18 m^-3 and a cylindrical chamber with a radius of 7.2 m and a length of 5 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.17e+06 W\nB. 8.25e+06 W\nC. 9.0e+06 W\nD. 5.45e+06 W\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 6 Tesla and a frequency of 23 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 1e+18 m^-3 and a cylindrical chamber with a radius of 3.2 m and a length of 8 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.96e+06 W\nB. 4.12e+04 W\nC. 6.32e+06 W\nD. 3.69e+06 W\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 6 Tesla and a frequency of 25 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 8e+18 m^-3 and a cylindrical chamber with a radius of 5.6 m and a length of 7 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.83e+05 W\nB. 8.1e+06 W\nC. 6.3e+06 W\nD. 7.48e+06 W\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 9 Tesla and a frequency of 42 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 7e+18 m^-3 and a cylindrical chamber with a radius of 8.9 m and a length of 4 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.11e+06 W\nB. 3.65e+06 W\nC. 8.5e+06 W\nD. 4.49e+06 W\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 1 Tesla and a frequency of 54 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 2e+18 m^-3 and a cylindrical chamber with a radius of 4.5 m and a length of 4 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.81e+06 W\nB. 6.36e+06 W\nC. 1.3e+06 W\nD. 8.14e+04 W\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 9 Tesla and a frequency of 63 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 7e+18 m^-3 and a cylindrical chamber with a radius of 4.6 m and a length of 4 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.13e+06 W\nB. 2.98e+05 W\nC. 6.54e+06 W\nD. 4.85e+06 W\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 4 Tesla and a frequency of 81 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 5e+18 m^-3 and a cylindrical chamber with a radius of 5.1 m and a length of 9 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.32e+06 W\nB. 5.88e+05 W\nC. 7.94e+06 W\nD. 4.71e+06 W\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 7 Tesla and a frequency of 91 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 3e+18 m^-3 and a cylindrical chamber with a radius of 10.0 m and a length of 7 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.28e+06 W\nB. 7.07e+06 W\nC. 8.86e+06 W\nD. 1.06e+06 W\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 8 Tesla and a frequency of 97 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 8e+18 m^-3 and a cylindrical chamber with a radius of 1.8 m and a length of 1 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.45e+06 W\nB. 6.14e+06 W\nC. 2.25e+06 W\nD. 1.30e+04 W\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum achievable temperature in a plasma created through electron cyclotron resonance heating with a magnetic field of 2 Tesla and a frequency of 83 GHz, and what is the minimum required input power for the heating system? Assume a plasma with a density of 4e+18 m^-3 and a cylindrical chamber with a radius of 3.6 m and a length of 4 m. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; Boltzmann constant k = 1.38e-23 ; electronic mass m_e = 9.11e-31 kg ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.21e+06 W\nB. 1.04e+05 W\nC. 1.05e+06 W\nD. 3.39e+06 W\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 32392 m/s and consumes 3 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8822.3 s 888311.4 s\nB. 8414.6 s 217813.2 s\nC. 3351.9 s 457997.0 s\nD. 3305.3 s 333333.3 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 14757 m/s and consumes 6 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5032.6 s 769627.1 s\nB. 1505.8 s 166666.7 s\nC. 1621.6 s 969137.5 s\nD. 6426.2 s 136344.4 s\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 57557 m/s and consumes 7 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3264.2 s 412862.1 s\nB. 5999.3 s 603413.5 s\nC. 5873.2 s 142857.1 s\nD. 8116.5 s 311138.3 s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 22491 m/s and consumes 6 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4224.8 s 656659.4 s\nB. 8023.4 s 518869.9 s\nC. 8154.3 s 611941.8 s\nD. 2295.0 s 166666.7 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 13970 m/s and consumes 6 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9211.0 s 441087.2 s\nB. 8576.3 s 988275.3 s\nC. 1897.9 s 712291.3 s\nD. 1425.5 s 166666.7 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 43460 m/s and consumes 8 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4434.7 s 125000.0 s\nB. 1051.7 s 519248.4 s\nC. 9914.9 s 659171.1 s\nD. 9990.0 s 918563.1 s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 35540 m/s and consumes 4 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3626.5 s 250000.0 s\nB. 1823.2 s 267522.7 s\nC. 7181.2 s 400316.1 s\nD. 2866.1 s 488914.5 s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 96229 m/s and consumes 8 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9819.3 s 125000.0 s\nB. 3532.8 s 378113.7 s\nC. 4469.8 s 340287.1 s\nD. 9826.2 s 821394.1 s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 58004 m/s and consumes 8 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2868.6 s 654852.1 s\nB. 5918.8 s 125000.0 s\nC. 1141.0 s 954575.0 s\nD. 4459.9 s 875159.6 s\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific impulse of a plasma thruster that has an exhaust velocity of 58614 m/s and consumes 6 mg of propellant per second. If the thruster operates continuously, how long will it take the thruster to consume 1 kg of propellant? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5981.0 s 166666.7 s\nB. 9213.3 s 839841.6 s\nC. 6574.2 s 526348.8 s\nD. 9607.4 s 167078.3 s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 4mg/s and a thrust of 0.4 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2070.04 s\nB. 6790.61 s\nC. 2782.6 s\nD. 10204.08 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 2mg/s and a thrust of 0.3 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5592.51 s\nB. 4293.77 s\nC. 4748.44 s\nD. 15306.12 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 3mg/s and a thrust of 1.0 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 34013.61 s\nB. 1805.18 s\nC. 3295.69 s\nD. 3118.12 s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 6mg/s and a thrust of 0.5 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6208.69 s\nB. 7121.57 s\nC. 7998.99 s\nD. 8503.4 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 5mg/s and a thrust of 0.8 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9426.1 s\nB. 5065.45 s\nC. 16326.53 s\nD. 1231.55 s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 9mg/s and a thrust of 0.0 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5964.11 s\nB. 0.0 s\nC. 7304.06 s\nD. 5908.38 s\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 7mg/s and a thrust of 0.7 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 10204.08 s\nB. 5372.99 s\nC. 4974.29 s\nD. 7908.59 s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 4mg/s and a thrust of 0.5 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4504.76 s\nB. 12755.1 s\nC. 7179.64 s\nD. 3423.83 s\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 5mg/s and a thrust of 0.7 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8802.88 s\nB. 1188.93 s\nC. 6426.91 s\nD. 14285.71 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific impulse of a plasma thruster with a propellant mass flow rate of 7mg/s and a thrust of 0.1 N, assuming an exhaust velocity of 50 km/s? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1133.35 s\nB. 2346.22 s\nC. 4234.85 s\nD. 1457.73 s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 229V and a current of 3A. If the efficiency of the thruster is 1.0, what is the force produced by the thruster assuming a mass flow rate of 16 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.23 N\nB. 0.15 N\nC. 0.14 N\nD. 0.67 N\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 794V and a current of 7A. If the efficiency of the thruster is 0.9, what is the force produced by the thruster assuming a mass flow rate of 82 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.53 N\nB. 0.95 N\nC. 0.29 N\nD. 0.12 N\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 847V and a current of 3A. If the efficiency of the thruster is 0.2, what is the force produced by the thruster assuming a mass flow rate of 22 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.08 N\nB. 0.85 N\nC. 0.33 N\nD. 0.02 N\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 998V and a current of 9A. If the efficiency of the thruster is 0.8, what is the force produced by the thruster assuming a mass flow rate of 53 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.98 N\nB. 0.38 N\nC. 0.63 N\nD. 0.18 N\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 361V and a current of 3A. If the efficiency of the thruster is 0.7, what is the force produced by the thruster assuming a mass flow rate of 68 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.38 N\nB. 0.36 N\nC. 0.03 N\nD. 0.13 N\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 337V and a current of 9A. If the efficiency of the thruster is 0.2, what is the force produced by the thruster assuming a mass flow rate of 29 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.42 N\nB. 0.34 N\nC. 0.07 N\nD. 0.73 N\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 197V and a current of 5A. If the efficiency of the thruster is 0.8, what is the force produced by the thruster assuming a mass flow rate of 73 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.31 N\nB. 0.38 N\nC. 0.72 N\nD. 0.79 N\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 270V and a current of 7A. If the efficiency of the thruster is 0.5, what is the force produced by the thruster assuming a mass flow rate of 96 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.34 N\nB. 0.88 N\nC. 0.6 N\nD. 0.47 N\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 616V and a current of 4A. If the efficiency of the thruster is 0.8, what is the force produced by the thruster assuming a mass flow rate of 92 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.79 N\nB. 0.57 N\nC. 0.53 N\nD. 0.67 N\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster used for space propulsion has an operating voltage of 489V and a current of 5A. If the efficiency of the thruster is 0.1, what is the force produced by the thruster assuming a mass flow rate of 81 mg/s? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.44 N\nB. 0.04 N\nC. 0.6 N\nD. 0.63 N\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 3 x 10^18 ions/cm^3 and a temperature of 9x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.14 J\nB. 7.56 J\nC. 4.76 J\nD. 6.01 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 5 x 10^18 ions/cm^3 and a temperature of 9x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.42 J\nB. 7.02 J\nC. 6.68 J\nD. 12.61 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 9 x 10^18 ions/cm^3 and a temperature of 6x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 22.69 J\nB. 6.94 J\nC. 3.81 J\nD. 3.57 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 2 x 10^18 ions/cm^3 and a temperature of 3x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.04 J\nB. 5.68 J\nC. 6.19 J\nD. 9.71 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 2 x 10^18 ions/cm^3 and a temperature of 2x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.45 J\nB. 5.93 J\nC. 5.04 J\nD. 8.5 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 8 x 10^18 ions/cm^3 and a temperature of 3x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 20.17 J\nB. 4.88 J\nC. 2.38 J\nD. 2.31 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 6 x 10^18 ions/cm^3 and a temperature of 6x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.97 J\nB. 5.53 J\nC. 15.13 J\nD. 9.61 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 5 x 10^18 ions/cm^3 and a temperature of 7x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 12.61 J\nB. 6.37 J\nC. 9.21 J\nD. 9.74 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 6 x 10^18 ions/cm^3 and a temperature of 6x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.06 J\nB. 6.7 J\nC. 15.13 J\nD. 9.01 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the minimum energy requirement to ionize a gas in a plasma thruster if the gas has a density of 7 x 10^18 ions/cm^3 and a temperature of 5x 10^4 K? How would this energy requirement change if the gas density is doubled while keeping the temperature constant? What implications does this have for the design of a plasma thruster? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ;lonization energy of argon atom E_Ar = 15.76 eV ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 17.65 J\nB. 1.79 J\nC. 4.81 J\nD. 7.89 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.1 N and an exhaust velocity of 92 km/s, assuming an efficiency of 0.7 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 50424.32 w\nB. 6571.43 W\nC. 97067.78 w\nD. 48053.73 w\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.6 N and an exhaust velocity of 75 km/s, assuming an efficiency of 1.0 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 71472.69 w\nB. 81384.8 w\nC. 79420.86 w\nD. 22500.0 W\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.6 N and an exhaust velocity of 88 km/s, assuming an efficiency of 0.4 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 66000.0 W\nB. 94505.98 w\nC. 51555.07 w\nD. 21043.42 w\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.6 N and an exhaust velocity of 59 km/s, assuming an efficiency of 0.9 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 19666.67 W\nB. 33939.33 w\nC. 14257.07 w\nD. 50646.75 w\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.2 N and an exhaust velocity of 67 km/s, assuming an efficiency of 0.2 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 27340.8 w\nB. 33500.0 W\nC. 49837.49 w\nD. 20741.05 w\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.2 N and an exhaust velocity of 43 km/s, assuming an efficiency of 0.7 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 79313.77 w\nB. 6142.86 W\nC. 56480.12 w\nD. 80842.55 w\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.7 N and an exhaust velocity of 49 km/s, assuming an efficiency of 0.9 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 39718.79 w\nB. 19055.56 W\nC. 31626.76 w\nD. 30996.53 w\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.2 N and an exhaust velocity of 15 km/s, assuming an efficiency of 0.7 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 70072.11 w\nB. 54131.96 w\nC. 2142.86 W\nD. 62140.66 w\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.9 N and an exhaust velocity of 58 km/s, assuming an efficiency of 0.5 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 89469.76 w\nB. 21478.75 w\nC. 52200.0 W\nD. 74171.24 w\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What would be the required power input to operate a plasma thruster for space propulsion with a specific thrust of 0.4 N and an exhaust velocity of 96 km/s, assuming an efficiency of 0.2 for converting electrical power to plasma kinetic energy? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 96000.0 W\nB. 51387.33 w\nC. 25372.97 w\nD. 12931.08 w\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 2 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 24 days? Assuming the mass of the space probe is 904 kg, and the plasma thruster has an exhaust velocity of 57 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 423.43 W\nB. 144.96 W\nC. 175.28 W\nD. 2445.67 W\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 1 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 33 days? Assuming the mass of the space probe is 836 kg, and the plasma thruster has an exhaust velocity of 80 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 839.49 W\nB. 791.22 W\nC. 135.88 W\nD. 239.1 W\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 3 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 75 days? Assuming the mass of the space probe is 191 kg, and the plasma thruster has an exhaust velocity of 20 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 646.22 W\nB. 27.85 W\nC. 274.65 W\nD. 621.75 W\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 2 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 90 days? Assuming the mass of the space probe is 770 kg, and the plasma thruster has an exhaust velocity of 67 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 964.95 W\nB. 190.98 W\nC. 828.91 W\nD. 174.12 W\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 3 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 95 days? Assuming the mass of the space probe is 519 kg, and the plasma thruster has an exhaust velocity of 52 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 528.8 W\nB. 122.63 W\nC. 430.88 W\nD. 684.43 W\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 7 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 91 days? Assuming the mass of the space probe is 663 kg, and the plasma thruster has an exhaust velocity of 53 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 406.02 W\nB. 858.77 W\nC. 347.98 W\nD. 593.21 W\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 2 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 78 days? Assuming the mass of the space probe is 198 kg, and the plasma thruster has an exhaust velocity of 53 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 834.12 W\nB. 527.02 W\nC. 47.16 W\nD. 364.66 W\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 6 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 32 days? Assuming the mass of the space probe is 489 kg, and the plasma thruster has an exhaust velocity of 48 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 773.41 W\nB. 257.76 W\nC. 1879.96 W\nD. 116.09 W\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 4 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 77 days? Assuming the mass of the space probe is 449 kg, and the plasma thruster has an exhaust velocity of 40 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 325.17 W\nB. 486.81 W\nC. 922.11 W\nD. 165.63 W\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A plasma thruster uses electric and magnetic fields to accelerate ions and produce thrust. Suppose you are designing a plasma thruster for a space probe that needs to travel a distance of 1 million kilometers. How fast would the plasma thruster need to accelerate the probe in order to reach this distance within 74 days? Assuming the mass of the space probe is 474 kg, and the plasma thruster has an exhaust velocity of 31 km/s, what would be the power requirement of the plasma thruster? Please note that the following content involves constants might be used in the calculations : gravity constant g = 9.8 N/kg. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 36.68 W\nB. 988.67 W\nC. 938.15 W\nD. 374.7 W\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Plasma_physics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 4 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 408.2 kg\nB. 722.0 kg\nC. 874.4 kg\nD. 230.2 kg\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 4 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 294.6 kg\nB. 459.9 kg\nC. 851.1 kg\nD. 408.2 kg\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 1 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 661.8 kg\nB. 748.5 kg\nC. 965.1 kg\nD. 102.0 kg\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 7 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 714.3 kg\nB. 930.2 kg\nC. 996.7 kg\nD. 339.8 kg\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 1 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 102.0 kg\nB. 925.5 kg\nC. 401.8 kg\nD. 370.6 kg\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 5 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 510.2 kg\nB. 761.8 kg\nC. 875.2 kg\nD. 256.3 kg\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 5 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 739.0 kg\nB. 510.2 kg\nC. 151.2 kg\nD. 894.7 kg\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 3 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 306.1 kg\nB. 832.0 kg\nC. 328.6 kg\nD. 243.8 kg\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 8 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 477.3 kg\nB. 640.9 kg\nC. 816.3 kg\nD. 989.1 kg\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum weight that can be levitated using a superconductor in a magnetic field with a strength of 1 Tesla and at a temperature of -196 \u00b0C? Show your calculations and assumptions for the type of superconductor used. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; gravity constant g = 9.8 N/kg ; thickness d = 0.001 m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 395.1 kg\nB. 381.9 kg\nC. 458.3 kg\nD. 102.0 kg\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 490 A and a voltage of 87 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 757.6 times of L\nB. 336.7 times of L\nC. 1006.4 times of L\nD. 100.0 times of L\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 776 A and a voltage of 54 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 100.0 times of L\nB. 204.4 times of L\nC. 754.0 times of L\nD. 648.0 times of L\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 575 A and a voltage of 15 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 825.9 times of L\nB. 496.8 times of L\nC. 658.2 times of L\nD. 100.0 times of L\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 596 A and a voltage of 91 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 951.2 times of L\nB. 615.2 times of L\nC. 644.9 times of L\nD. 100.0 times of L\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 788 A and a voltage of 82 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 100.0 times of L\nB. 748.0 times of L\nC. 171.2 times of L\nD. 611.6 times of L\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 431 A and a voltage of 69 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 100.0 times of L\nB. 988.1 times of L\nC. 698.4 times of L\nD. 967.1 times of L\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 402 A and a voltage of 25 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 802.8 times of L\nB. 758.5 times of L\nC. 100.0 times of L\nD. 316.1 times of L\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 681 A and a voltage of 76 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 284.7 times of L\nB. 634.9 times of L\nC. 100.0 times of L\nD. 971.5 times of L\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 824 A and a voltage of 75 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 561.9 times of L\nB. 269.4 times of L\nC. 100.0 times of L\nD. 526.9 times of L\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum distance at which a superconducting power cable can transmit electricity with a 99% efficiency compared to a conventional copper cable, assuming a current of 533 A and a voltage of 70 kV? Please note that the following content involves constants might be used in the calculations :resistivity \u03c1 = 1.68e-8 \u03a9\u00b7m. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 147.6 times of L\nB. 192.1 times of L\nC. 942.4 times of L\nD. 100.0 times of L\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 12 mT and a superconducting energy gap of 0.5 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.96e-19 A/m^2\nB. 4.2e-19 A/m^2\nC. 7.42e-20 A/m^2\nD. 5.14e-19 A/m^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 76 mT and a superconducting energy gap of 0.9 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.53e-19 A/m^2\nB. 8.46e-19 A/m^2\nC. 1.36e-19 A/m^2\nD. 7.99e-19 A/m^2\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 22 mT and a superconducting energy gap of 1.0 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.47e-19 A/m^2\nB. 4.59e-19 A/m^2\nC. 3.12e-19 A/m^2\nD. 2.72e-19 A/m^2\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 32 mT and a superconducting energy gap of 0.7 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.77e-19 A/m^2\nB. 2.89e-19 A/m^2\nC. 3.17e-19 A/m^2\nD. 2.41e-19 A/m^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 88 mT and a superconducting energy gap of 0.9 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.79e-19 A/m^2\nB. 7.01e-19 A/m^2\nC. 8.9e-19 A/m^2\nD. 9.49e-19 A/m^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 51 mT and a superconducting energy gap of 0.2 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.28e-19 A/m^2\nB. 3.63e-19 A/m^2\nC. 1.43e-19 A/m^2\nD. 1.26e-19 A/m^2\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 37 mT and a superconducting energy gap of 0.5 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.29e-19 A/m^2\nB. 1.47e-19 A/m^2\nC. 4.25e-19 A/m^2\nD. 9.1e-19 A/m^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 96 mT and a superconducting energy gap of 0.8 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.76e-19 A/m^2\nB. 6.08e-19 A/m^2\nC. 1.94e-19 A/m^2\nD. 9.50e-19 A/m^2\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 82 mT and a superconducting energy gap of 0.7 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.89e-19 A/m^2\nB. 7.33e-19 A/m^2\nC. 7.10e-19 A/m^2\nD. 8.38e-19 A/m^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction with a cross-sectional area of 2 nm x 2 nm, given that the junction is made of a superconductor with a critical magnetic field of 26 mT and a superconducting energy gap of 0.8 meV? Please note that the following content involves constants might be used in the calculations :e = 1.6e-19 C ; \\phi_0 = 2.07e-15. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.57e-19 A/m^2\nB. 7.33e-19 A/m^2\nC. 2.17e-19 A/m^2\nD. 1.94e-19 A/m^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 13 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 4 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.02 A/m^2\nB. 5.34 A/m^2\nC. 30.78 A/m^2\nD. 1.15 A/m^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 15 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 7 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.97 A/m^2\nB. 6.12 A/m^2\nC. 34.14 A/m^2\nD. 1.29 A/m^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 5 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 4 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.54 A/m^2\nB. 6.47 A/m^2\nC. 8.41 A/m^2\nD. 4.06 A/m^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 11 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 2 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 26.21 A/m^2\nB. 2.21 A/m^2\nC. 7.45 A/m^2\nD. 2.25 A/m^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 9 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 1 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.29 A/m^2\nB. 4.42 A/m^2\nC. 2.96 A/m^2\nD. 21.45 A/m^2\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 13 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 9 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.79 A/m^2\nB. 26.46 A/m^2\nC. 3.87 A/m^2\nD. 6.54 A/m^2\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 10 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 1 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.41 A/m^2\nB. 1.57 A/m^2\nC. 23.83 A/m^2\nD. 3.78 A/m^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 11 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 7 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.08 A/m^2\nB. 23.11 A/m^2\nC. 8.46 A/m^2\nD. 8.68 A/m^2\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 10 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 9 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 17.92 A/m^2\nB. 4.87 A/m^2\nC. 2.7 A/m^2\nD. 2.87 A/m^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the critical current density of a Josephson junction consisting of a superconducting material with a critical temperature of 11 K and a normal material with a resistivity of 2 \u03a9-micrometer at a temperature of 2 K? Given that the length and width of the junction are 50 micrometers and 2 micrometers, respectively. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.47 A/m^2\nB. 9.29 A/m^2\nC. 7.54 A/m^2\nD. 26.21 A/m^2\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 36 meters and a diameter of 9 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 1 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.38e+09 J\nB. 9.11e+08 J\nC. 4.25e+09 J\nD. 7.66e+09 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 81 meters and a diameter of 3 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 3 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.91e+09 J\nB. 3.82e+09 J\nC. 1.62e+09 J\nD. 2.05e+09 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 31 meters and a diameter of 7 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 5 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.56e+09 J\nB. 9.3e+09 J\nC. 5.93e+09 J\nD. 1.19e+10 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 15 meters and a diameter of 6 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 1 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.69e+08 J\nB. 4.56e+09 J\nC. 6.59e+09 J\nD. 1.12e+09 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 43 meters and a diameter of 9 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 3 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.80e+09 J\nB. 8.94e+09 J\nC. 8.08e+09 J\nD. 8.63e+09 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 97 meters and a diameter of 7 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 3 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.47e+09 J\nB. 3.85e+09 J\nC. 1.34e+10 J\nD. 5.31e+09 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 25 meters and a diameter of 5 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 6 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.03e+09 J\nB. 3.21e+09 J\nC. 4.99e+09 J\nD. 4.94e+09 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 86 meters and a diameter of 8 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 1 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.72e+09 J\nB. 5.59e+09 J\nC. 6.37e+09 J\nD. 8.4e+09 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 11 meters and a diameter of 9 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 5 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.08e+09 J\nB. 5.67e+09 J\nC. 6.96e+09 J\nD. 1.26e+09 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a high-temperature superconductor coil with a length of 76 meters and a diameter of 3 meter, assuming a critical current density of 1e+06 A/m^2 and a critical magnetic field of 6 tesla? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; e = 1.6e-19 C ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.22e+09 J\nB. 7.85e+09 J\nC. 5.78e+09 J\nD. 7.70e+09 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 23 H and a current of 18 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 52826 J\nB. 3726 J\nC. 55641 J\nD. 19835 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 23 H and a current of 78 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 24478 J\nB. 47440 J\nC. 37365 J\nD. 69966 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 64 H and a current of 46 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 27155 J\nB. 67712 J\nC. 56869 J\nD. 14192 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 13 H and a current of 30 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 45708 J\nB. 94326 J\nC. 5850 J\nD. 77492 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 19 H and a current of 67 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 42646 J\nB. 26899 J\nC. 58157 J\nD. 71602 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 71 H and a current of 54 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 18537 J\nB. 93620 J\nC. 103518 J\nD. 34023 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 81 H and a current of 78 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 246402 J\nB. 98309 J\nC. 36527 J\nD. 27400 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 70 H and a current of 55 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 44513 J\nB. 105875 J\nC. 97873 J\nD. 42536 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 84 H and a current of 98 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 19263 J\nB. 89451 J\nC. 25855 J\nD. 403368 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the maximum amount of energy that can be stored in a superconducting coil with an inductance of 73 H and a current of 17 A before it loses its superconductivity? Also, calculate the energy that can be stored in the same coil when it becomes resistive. Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 10548 J\nB. 56102 J\nC. 26998 J\nD. 29054 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 3 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 6 mm made of a lead alloy with a transition temperature of 5 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 67735 A/m 2.0e+13 A/m^2\nB. 41600 A/m 1.10e+13 A/m^2\nC. 80463 A/m 2.61e+13 A/m^2\nD. 62650 A/m 6.09e+13 A/m^2\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 1 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 3 mm made of a lead alloy with a transition temperature of 2 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 92707 A/m 6.9e+13 A/m^2\nB. 55884 A/m 1.52e+13 A/m^2\nC. 57285 A/m 7.59e+13 A/m^2\nD. 48750 A/m 2.59e+13 A/m^2\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 7 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 2 mm made of a lead alloy with a transition temperature of 10 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 80558 A/m 8.83e+13 A/m^2\nB. 56198 A/m 2.23e+13 A/m^2\nC. 82968 A/m 7.71e+13 A/m^2\nD. 33150 A/m 2.64e+13 A/m^2\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 5 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 5 mm made of a lead alloy with a transition temperature of 9 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 44938 A/m 1.43e+13 A/m^2\nB. 97325 A/m 8.19e+13 A/m^2\nC. 62182 A/m 9.27e+13 A/m^2\nD. 26512 A/m 8.33e+13 A/m^2\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 7 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 1 mm made of a lead alloy with a transition temperature of 13 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 14753 A/m 3.44e+13 A/m^2\nB. 31992 A/m 8.88e+13 A/m^2\nC. 46154 A/m 7.35e+13 A/m^2\nD. 21166 A/m 5.09e+13 A/m^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 8 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 8 mm made of a lead alloy with a transition temperature of 11 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 58433 A/m 7.3e+13 A/m^2\nB. 40494 A/m 5.82e+13 A/m^2\nC. 30620 A/m 6.09e+12 A/m^2\nD. 57189 A/m 1.25e+13 A/m^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 8 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 8 mm made of a lead alloy with a transition temperature of 11 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 29176 A/m 7.8e+13 A/m^2\nB. 30620 A/m 6.09e+12 A/m^2\nC. 59675 A/m 4.81e+13 A/m^2\nD. 12002 A/m 9.64e+13 A/m^2\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 9 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 3 mm made of a lead alloy with a transition temperature of 14 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 61184 A/m 4.27e+13 A/m^2\nB. 83741 A/m 1.73e+13 A/m^2\nC. 38138 A/m 2.02e+13 A/m^2\nD. 21188 A/m 2.64e+13 A/m^2\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 8 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 5 mm made of a lead alloy with a transition temperature of 16 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 86919 A/m 5.9e+13 A/m^2\nB. 48750 A/m 1.55e+13 A/m^2\nC. 32061 A/m 6.0e+13 A/m^2\nD. 47663 A/m 3.18e+13 A/m^2\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "When temperaure is 2 K ,what are the critical current density and critical magnetic field of a superconducting wire with a diameter of 3 mm made of a lead alloy with a transition temperature of 9 K? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14 ; \\mu_0 = 4*\\pi*1e-7. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 61573 A/m 6.1e+13 A/m^2\nB. 61790 A/m 3.28e+13 A/m^2\nC. 93336 A/m 1.79e+13 A/m^2\nD. 88287 A/m 9.56e+13 A/m^2\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 1 cm when a magnetic field of 0.9 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 3077 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.7e-07\nB. 3.3e-07\nC. 9.2e-08\nD. 1.9e-07\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 9 cm when a magnetic field of 0.7 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 9124 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.5e-07\nB. 2.0e-06\nC. 6.1e-07\nD. 9.2e-07\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 7 cm when a magnetic field of 0.6 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 7176 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.0e-07\nB. 3.3e-07\nC. 1.3e-06\nD. 5.3e-07\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 2 cm when a magnetic field of 0.6 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 3665 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.2e-07\nB. 2.1e-07\nC. 7.6e-07\nD. 9.1e-07\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 6 cm when a magnetic field of 0.0 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 4756 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.7e-07\nB. 4.7e-07\nC. 0.0e+00\nD. 6.5e-07\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 6 cm when a magnetic field of 0.1 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 6498 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.5e-07\nB. 1.7e-07\nC. 2.1e-07\nD. 1.9e-07\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 1 cm when a magnetic field of 0.5 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 9277 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.7e-07\nB. 3.0e-07\nC. 1.7e-08\nD. 6.6e-07\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 1 cm when a magnetic field of 0.5 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 8721 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.0e-07\nB. 1.8e-08\nC. 9.8e-07\nD. 1.1e-07\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 9 cm when a magnetic field of 0.4 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 2831 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.3e-07\nB. 8.3e-07\nC. 8.2e-07\nD. 3.6e-06\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A Physics student needs to calculate the total flux through a superconducting disk of radius 9 cm when a magnetic field of 0.5 T is applied perpendicular to the disk. The disk has a thickness of 1 mm and is penetrated by 7795 vortices. Given that the total flux is proportional to the number of vortices, what is the proportionality constant? Please note that the following content involves constants might be used in the calculations :\\pi = 3.14. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.0e-07\nB. 8.2e-07\nC. 10.0e-07\nD. 1.6e-06\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Superconductivity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 11 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 19.65 kJ\nB. 24.85 kJ\nC. 42.79 kJ\nD. 46.16 kJ\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 86 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 181.46 kJ\nB. 765.05 kJ\nC. 194.29 kJ\nD. 211.75 kJ\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 26 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 63.51 kJ\nB. 48.67 kJ\nC. 83.01 kJ\nD. 58.74 kJ\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 35 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 23.97 kJ\nB. 79.07 kJ\nC. 99.57 kJ\nD. 91.55 kJ\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 24 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 37.44 kJ\nB. 54.22 kJ\nC. 15.37 kJ\nD. 102.07 kJ\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 82 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 259.78 kJ\nB. 572.44 kJ\nC. 185.26 kJ\nD. 980.79 kJ\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 95 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 372.87 kJ\nB. 214.63 kJ\nC. 250.91 kJ\nD. 432.24 kJ\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 22 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 35.31 kJ\nB. 49.7 kJ\nC. 29.05 kJ\nD. 100.53 kJ\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 64 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 172.05 kJ\nB. 144.59 kJ\nC. 897.41 kJ\nD. 792.72 kJ\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to vaporize 92 grams of water to steam at 100\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Given the latent heat of vaporization of water is 40.7 kJ/mol)\n\nA. 207.85 kJ\nB. 862.34 kJ\nC. 971.46 kJ\nD. 489.72 kJ\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 95 L to a final volume of 7 L in an adiabatic process. If the initial pressure of the gas is 100 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -63954 J\nB. -16599 J\nC. -66820 J\nD. -55449 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 55 L to a final volume of 8 L in an adiabatic process. If the initial pressure of the gas is 100 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -57445 J\nB. -65724 J\nC. -57019 J\nD. -21569 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 55 L to a final volume of 1 L in an adiabatic process. If the initial pressure of the gas is 300 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -333194 J\nB. -429969 J\nC. -910424 J\nD. -371119 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 52 L to a final volume of 9 L in an adiabatic process. If the initial pressure of the gas is 900 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -501905 J\nB. -845166 J\nC. -155830 J\nD. -375815 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 18 L to a final volume of 7 L in an adiabatic process. If the initial pressure of the gas is 700 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -65369 J\nB. -16568 J\nC. -72228 J\nD. -26002 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 49 L to a final volume of 9 L in an adiabatic process. If the initial pressure of the gas is 100 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -32405 J\nB. -56316 J\nC. -38079 J\nD. -15383 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 83 L to a final volume of 9 L in an adiabatic process. If the initial pressure of the gas is 400 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -320863 J\nB. -169196 J\nC. -426442 J\nD. -626373 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 77 L to a final volume of 3 L in an adiabatic process. If the initial pressure of the gas is 500 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -531762 J\nB. -444742 J\nC. -460356 J\nD. -528160 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 18 L to a final volume of 1 L in an adiabatic process. If the initial pressure of the gas is 500 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -46262 J\nB. -57802 J\nC. -79220 J\nD. -53658 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A student wants to compress 8 moles of helium gas from an initial volume of 35 L to a final volume of 4 L in an adiabatic process. If the initial pressure of the gas is 700 kPa, what is the adiabatic work done in the process? Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : The degrees of freedom of helium gas = 3 .)\n\nA. -119297 J\nB. -460664 J\nC. -774318 J\nD. -180739 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 620 Pa, volume of 0.5 m^3, and temperature of 939 K. The gas undergoes an isothermal process where the pressure is decreased to 242 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 291.64 J\nB. 478.34 J\nC. 296.29 J\nD. 918.6 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 596 Pa, volume of 0.9 m^3, and temperature of 272 K. The gas undergoes an isothermal process where the pressure is decreased to 266 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 268.6 J\nB. 785.31 J\nC. 223.33 J\nD. 432.74 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 519 Pa, volume of 0.8 m^3, and temperature of 562 K. The gas undergoes an isothermal process where the pressure is decreased to 469 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 61.22 J\nB. 42.06 J\nC. 17.14 J\nD. 80.65 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 334 Pa, volume of 0.2 m^3, and temperature of 180 K. The gas undergoes an isothermal process where the pressure is decreased to 198 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 72.11 J\nB. 53.88 J\nC. 39.32 J\nD. 34.93 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 529 Pa, volume of 0.5 m^3, and temperature of 580 K. The gas undergoes an isothermal process where the pressure is decreased to 307 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 814.29 J\nB. 228.15 J\nC. 149.92 J\nD. 143.93 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 799 Pa, volume of 0.4 m^3, and temperature of 798 K. The gas undergoes an isothermal process where the pressure is decreased to 214 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 849.83 J\nB. 421.04 J\nC. 780.19 J\nD. 152.95 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 881 Pa, volume of 0.3 m^3, and temperature of 460 K. The gas undergoes an isothermal process where the pressure is decreased to 824 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 70.45 J\nB. 63.53 J\nC. 16.78 J\nD. 17.68 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 743 Pa, volume of 0.7 m^3, and temperature of 149 K. The gas undergoes an isothermal process where the pressure is decreased to 583 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 126.13 J\nB. 748.17 J\nC. 397.18 J\nD. 506.58 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 459 Pa, volume of 0.9 m^3, and temperature of 589 K. The gas undergoes an isothermal process where the pressure is decreased to 217 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 748.48 J\nB. 309.48 J\nC. 691.57 J\nD. 291.66 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas is initially at a pressure of 374 Pa, volume of 0.1 m^3, and temperature of 885 K. The gas undergoes an isothermal process where the pressure is decreased to 201 Pa. Calculate the work done by the gas during this process. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 99.89 J\nB. 61.86 J\nC. 16.25 J\nD. 23.22 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 1189 K and 534 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 77.31%\nB. 55.09%\nC. 87.7%\nD. 88.52%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 414 K and 102 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 53.93%\nB. 72.13%\nC. 22.73%\nD. 75.36%\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 1569 K and 609 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 65.25%\nB. 61.19%\nC. 18.93%\nD. 67.59%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 662 K and 405 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 40.49%\nB. 38.82%\nC. 57.28%\nD. 29.16%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 1353 K and 899 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 75.85%\nB. 33.56%\nC. 98.75%\nD. 37.87%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 1016 K and 483 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 52.46%\nB. 99.29%\nC. 27.51%\nD. 38.88%\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 659 K and 195 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 70.41%\nB. 15.52%\nC. 45.44%\nD. 49.32%\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 944 K and 696 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 71.12%\nB. 56.58%\nC. 90.61%\nD. 26.27%\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 1200 K and 933 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 53.77%\nB. 22.25%\nC. 32.25%\nD. 72.92%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operates between two reservoirs at temperatures of 843 K and 477 K respectively. Calculate the Carnot efficiency of this engine. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 43.98%\nB. 43.42%\nC. 78.53%\nD. 42.98%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 2106 J of heat from the cold reservoir for every 11721 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 99.94%\nB. 97.7%\nC. 17.97%\nD. 67.3%\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 1350 J of heat from the cold reservoir for every 48581 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.61%\nB. 2.78%\nC. 7.17%\nD. 3.65%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 5330 J of heat from the cold reservoir for every 29273 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 81.38%\nB. 18.21%\nC. 70.7%\nD. 33.74%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 6697 J of heat from the cold reservoir for every 19539 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 59.34%\nB. 34.28%\nC. 12.56%\nD. 10.31%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 8680 J of heat from the cold reservoir for every 71455 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 12.15%\nB. 80.65%\nC. 67.34%\nD. 36.21%\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 8668 J of heat from the cold reservoir for every 72294 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 90.91%\nB. 38.41%\nC. 43.7%\nD. 11.99%\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 3317 J of heat from the cold reservoir for every 55038 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.44%\nB. 3.58%\nC. 6.03%\nD. 3.96%\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 7949 J of heat from the cold reservoir for every 49308 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 16.12%\nB. 27.93%\nC. 25.71%\nD. 98.24%\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 3761 J of heat from the cold reservoir for every 36208 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 29.48%\nB. 10.39%\nC. 91.36%\nD. 78.51%\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the coefficient of performance of a refrigerator that operates between a cold reservoir and a hot reservoir , if it removes 9244 J of heat from the cold reservoir for every 75819 J of work done on it? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 24.22%\nB. 32.4%\nC. 12.19%\nD. 80.58%\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 1429 J of heat from the cold reservoir and exhausts 541 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.75\nB. 1.61\nC. 6.33\nD. 9.28\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 1009 J of heat from the cold reservoir and exhausts 354 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.82\nB. 9.17\nC. 7.99\nD. 1.54\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 1144 J of heat from the cold reservoir and exhausts 760 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.35\nB. 2.98\nC. 6.74\nD. 7.4\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 1800 J of heat from the cold reservoir and exhausts 864 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.92\nB. 2.94\nC. 5.82\nD. 5.82\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 1181 J of heat from the cold reservoir and exhausts 261 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.22\nB. 1.28\nC. 5.95\nD. 5.49\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 958 J of heat from the cold reservoir and exhausts 381 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.66\nB. 9.25\nC. 3.64\nD. 4.15\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 1084 J of heat from the cold reservoir and exhausts 799 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.8\nB. 3.81\nC. 8.45\nD. 2.24\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 1280 J of heat from the cold reservoir and exhausts 364 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 8.34\nB. 9.43\nC. 1.4\nD. 6.93\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 899 J of heat from the cold reservoir and exhausts 461 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.84\nB. 3.61\nC. 2.05\nD. 6.36\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat pump operates between a cold reservoir at 4\u00b0C and a hot reservoir at 30\u00b0C. It receives 542 J of heat from the cold reservoir and exhausts 204 J of heat to the hot reservoir. Determine the coefficient of performance (COP) of the heat pump. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.55\nB. 5.57\nC. 1.6\nD. 7.77\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 1 atm and a volume of 2 L has a Boyle temperature of 691 K. What will be the volume of the gas at a pressure of 3 atm and a temperature of 806 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9.6 L\nB. 0.78 L\nC. 6.28 L\nD. 8.85 L\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 6 atm and a volume of 8 L has a Boyle temperature of 782 K. What will be the volume of the gas at a pressure of 7 atm and a temperature of 320 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 4.23 L\nB. 4.96 L\nC. 2.81 L\nD. 7.63 L\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 9 atm and a volume of 2 L has a Boyle temperature of 578 K. What will be the volume of the gas at a pressure of 9 atm and a temperature of 146 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.51 L\nB. 5.93 L\nC. 6.22 L\nD. 8.64 L\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 3 atm and a volume of 9 L has a Boyle temperature of 263 K. What will be the volume of the gas at a pressure of 8 atm and a temperature of 795 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 10.6 L\nB. 19.86 L\nC. 44.18 L\nD. 10.2 L\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 6 atm and a volume of 1 L has a Boyle temperature of 466 K. What will be the volume of the gas at a pressure of 2 atm and a temperature of 811 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.22 L\nB. 4.6 L\nC. 1.5 L\nD. 5.74 L\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 1 atm and a volume of 9 L has a Boyle temperature of 289 K. What will be the volume of the gas at a pressure of 8 atm and a temperature of 508 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.73 L\nB. 4.16 L\nC. 1.94 L\nD. 1.98 L\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 3 atm and a volume of 1 L has a Boyle temperature of 720 K. What will be the volume of the gas at a pressure of 1 atm and a temperature of 721 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3.0 L\nB. 5.76 L\nC. 1.77 L\nD. 6.71 L\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 6 atm and a volume of 5 L has a Boyle temperature of 826 K. What will be the volume of the gas at a pressure of 5 atm and a temperature of 224 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.22 L\nB. 7.45 L\nC. 1.63 L\nD. 9.57 L\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 1 atm and a volume of 5 L has a Boyle temperature of 461 K. What will be the volume of the gas at a pressure of 1 atm and a temperature of 760 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2.79 L\nB. 4.82 L\nC. 5.68 L\nD. 8.24 L\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 4 atm and a volume of 3 L has a Boyle temperature of 534 K. What will be the volume of the gas at a pressure of 3 atm and a temperature of 632 K? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.3 L\nB. 2.52 L\nC. 4.73 L\nD. 9.45 L\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 12 atm and a temperature of 672 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 1 atm and the temperature drops to 408 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 24.0\nB. 68.49\nC. 84.66\nD. 65.41\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 16 atm and a temperature of 871 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 7 atm and the temperature drops to 539 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 93.52\nB. 99.31\nC. 36.89\nD. 27.11\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 13 atm and a temperature of 695 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 1 atm and the temperature drops to 166 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 55.88\nB. 44.08\nC. 61.48\nD. 56.16\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 18 atm and a temperature of 528 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 1 atm and the temperature drops to 304 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 13.18\nB. 14.76\nC. 98.11\nD. 18.47\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 13 atm and a temperature of 829 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 8 atm and the temperature drops to 698 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 26.2\nB. 78.13\nC. 28.96\nD. 11.19\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 15 atm and a temperature of 443 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 2 atm and the temperature drops to 438 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7.77\nB. 2.54\nC. 0.38\nD. 7.6\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 17 atm and a temperature of 376 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 3 atm and the temperature drops to 206 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 94.85\nB. 12.14\nC. 60.71\nD. 60.27\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 18 atm and a temperature of 334 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 2 atm and the temperature drops to 323 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5.43\nB. 6.48\nC. 1.86\nD. 0.69\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 13 atm and a temperature of 914 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 9 atm and the temperature drops to 129 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 196.25\nB. 334.65\nC. 317.52\nD. 353.54\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A gas initially at a pressure of 17 atm and a temperature of 765 K undergoes a Joule-Thomson expansion. During the expansion, the pressure drops to 9 atm and the temperature drops to 378 K. Calculate the Joule-Thomson coefficient of the gas.Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 48.38\nB. 41.69\nC. 37.85\nD. 25.75\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 714 K and 378 K has an efficiency of 34%. If it rejects 79191 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 801693 J\nB. 236971 J\nC. 119986 J\nD. 273981 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 672 K and 330 K has an efficiency of 33%. If it rejects 86977 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 683371 J\nB. 335283 J\nC. 341704 J\nD. 129816 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 834 K and 296 K has an efficiency of 20%. If it rejects 20622 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 25777 J\nB. 64948 J\nC. 71825 J\nD. 43129 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 909 K and 133 K has an efficiency of 73%. If it rejects 86209 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 319292 J\nB. 688649 J\nC. 572349 J\nD. 777720 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 720 K and 134 K has an efficiency of 63%. If it rejects 76198 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 205940 J\nB. 924668 J\nC. 304020 J\nD. 233712 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 709 K and 381 K has an efficiency of 45%. If it rejects 40839 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 38822 J\nB. 74252 J\nC. 63985 J\nD. 19034 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 960 K and 354 K has an efficiency of 29%. If it rejects 76729 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 519026 J\nB. 748486 J\nC. 108069 J\nD. 587509 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 596 K and 175 K has an efficiency of 11%. If it rejects 76343 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 85778 J\nB. 36283 J\nC. 31128 J\nD. 67117 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 515 K and 315 K has an efficiency of 34%. If it rejects 87874 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 433131 J\nB. 133142 J\nC. 147525 J\nD. 504176 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A heat engine operating between 809 K and 124 K has an efficiency of 60%. If it rejects 50600 J of heat to the cold reservoir, what is the amount of heat supplied to the engine from the hot reservoir? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 469235 J\nB. 126500 J\nC. 894159 J\nD. 807673 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 64\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 0.47 atm\nB. 0.57 atm\nC. 0.93 atm\nD. 0.64 atm\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 75\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 0.88 atm\nB. 0.14 atm\nC. 0.91 atm\nD. 0.72 atm\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 64\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 0.71 atm\nB. 0.57 atm\nC. 0.13 atm\nD. 0.33 atm\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 63\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 0.2 atm\nB. 0.29 atm\nC. 0.72 atm\nD. 0.55 atm\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 58\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 0.81 atm\nB. 0.95 atm\nC. 0.26 atm\nD. 0.44 atm\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 22\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 0.08 atm\nB. 0.67 atm\nC. 0.18 atm\nD. 0.51 atm\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 37\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 0.17 atm\nB. 0.98 atm\nC. 1.0 atm\nD. 0.71 atm\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 79\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 1.02 atm\nB. 2.58 atm\nC. 2.44 atm\nD. 3.12 atm\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 63\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 0.77 atm\nB. 0.55 atm\nC. 0.83 atm\nD. 0.22 atm\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the vapor pressure of ethanol at 31\u00b0C given that its standard enthalpy of vaporization is 38.6 kJ/mol and its normal boiling point is 78.4\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 0.13 atm\nB. 0.87 atm\nC. 0.33 atm\nD. 0.51 atm\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 764723.49 J/mol\nB. 613559.3 J/mol\nC. 105882.61 J/mol\nD. 919351.81 J/mol\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 299548.61 J/mol\nB. 534032.21 J/mol\nC. 158238.64 J/mol\nD. 274459.32 J/mol\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 752852.37 J/mol\nB. 742173.45 J/mol\nC. 651847.89 J/mol\nD. 380128.28 J/mol\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 487797.4 J/mol\nB. 629811.23 J/mol\nC. 452916.71 J/mol\nD. 124405.22 J/mol\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 520295.23 J/mol\nB. 788139.21 J/mol\nC. 791109.73 J/mol\nD. 206974.34 J/mol\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 164896.61 J/mol\nB. 659996.65 J/mol\nC. 841231.98 J/mol\nD. 756390.41 J/mol\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 93460.9 J/mol\nB. 57805.63 J/mol\nC. 95270.09 J/mol\nD. 17445.78 J/mol\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 55128.69 J/mol\nB. 79628.19 J/mol\nC. 36115.32 J/mol\nD. 28294.47 J/mol\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 165809.99 J/mol\nB. 349770.59 J/mol\nC. 205535.89 J/mol\nD. 885420.32 J/mol\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the heat of vaporization of substance X at a given temperature using the Clausius-Clapeyron equation, given that the vapor pressure of X at 100\u00b0C is 450 mmHg and at 150\u00b0C is 790 mmHg. The boiling point of X is 120\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : R=8.31 J/(mol\u30fbK))\n\nA. 728690.62 J/mol\nB. 259993.59 J/mol\nC. 275902.7 J/mol\nD. 146951.63 J/mol\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 2 atm and the mole fraction of carbon dioxide is 0.51. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:0.76 atm, N2:1.24 atm\nB. CO2:0.95 atm, N2:1.05 atm\nC. CO2:1.36 atm, N2:0.64 atm\nD. CO2:1.02 atm, N2:0.98 atm\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 4 atm and the mole fraction of carbon dioxide is 0.5. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:1.62 atm, N2:2.38 atm\nB. CO2:1.45 atm, N2:2.55 atm\nC. CO2:2.91 atm, N2:1.09 atm\nD. CO2:2.0 atm, N2:2.0 atm\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 4 atm and the mole fraction of carbon dioxide is 0.97. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:3.46 atm, N2:0.54 atm\nB. CO2:0.48 atm, N2:3.52 atm\nC. CO2:0.98 atm, N2:3.02 atm\nD. CO2:3.88 atm, N2:0.12 atm\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 4 atm and the mole fraction of carbon dioxide is 0.9. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:0.92 atm, N2:3.08 atm\nB. CO2:3.6 atm, N2:0.4 atm\nC. CO2:3.92 atm, N2:0.08 atm\nD. CO2:3.75 atm, N2:0.25 atm\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 4 atm and the mole fraction of carbon dioxide is 0.25. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:2.68 atm, N2:1.32 atm\nB. CO2:1.0 atm, N2:3.0 atm\nC. CO2:1.31 atm, N2:2.69 atm\nD. CO2:2.18 atm, N2:1.82 atm\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 7 atm and the mole fraction of carbon dioxide is 0.44. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:2.0 atm, N2:5.0 atm\nB. CO2:5.26 atm, N2:1.74 atm\nC. CO2:6.48 atm, N2:0.52 atm\nD. CO2:3.08 atm, N2:3.92 atm\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 3 atm and the mole fraction of carbon dioxide is 0.5. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:1.21 atm, N2:1.79 atm\nB. CO2:1.84 atm, N2:1.16 atm\nC. CO2:1.5 atm, N2:1.5 atm\nD. CO2:1.92 atm, N2:1.08 atm\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 7 atm and the mole fraction of carbon dioxide is 0.56. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:3.92 atm, N2:3.08 atm\nB. CO2:2.73 atm, N2:4.27 atm\nC. CO2:2.08 atm, N2:4.92 atm\nD. CO2:3.4 atm, N2:3.6 atm\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 5 atm and the mole fraction of carbon dioxide is 0.59. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:1.54 atm, N2:3.46 atm\nB. CO2:0.62 atm, N2:4.38 atm\nC. CO2:2.95 atm, N2:2.05 atm\nD. CO2:1.15 atm, N2:3.85 atm\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A physics student is given a gaseous mixture made up of carbon dioxide and nitrogen. The total pressure of the mixture is 6 atm and the mole fraction of carbon dioxide is 0.27. Calculate the partial pressure of each gas in the mixture. (Assume ideal gas behavior and use thermodynamic calculations to solve the problem.) Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. CO2:2.3 atm, N2:3.7 atm\nB. CO2:1.62 atm, N2:4.38 atm\nC. CO2:2.77 atm, N2:3.23 atm\nD. CO2:5.65 atm, N2:0.35 atm\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 1.6kg iron bar is heated from 29\u00b0C to 311\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 966793 J\nB. 203040 J\nC. 810115 J\nD. 324033 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 4.2kg iron bar is heated from 44\u00b0C to 218\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 328860 J\nB. 522081 J\nC. 855110 J\nD. 511009 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 7.5kg iron bar is heated from 65\u00b0C to 401\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9688271 J\nB. 1134000 J\nC. 9373151 J\nD. 3662278 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 3.0kg iron bar is heated from 86\u00b0C to 411\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 536596 J\nB. 512097 J\nC. 438750 J\nD. 602176 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 9.9kg iron bar is heated from 26\u00b0C to 356\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 7007314 J\nB. 1470150 J\nC. 8157412 J\nD. 7211636 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 4.9kg iron bar is heated from 24\u00b0C to 250\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 667989 J\nB. 642930 J\nC. 717517 J\nD. 498330 J\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 8.1kg iron bar is heated from 89\u00b0C to 427\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3410580 J\nB. 1232010 J\nC. 9062313 J\nD. 4770016 J\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 3.3kg iron bar is heated from 40\u00b0C to 305\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 704298 J\nB. 142736 J\nC. 393525 J\nD. 816634 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 4.5kg iron bar is heated from 31\u00b0C to 378\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 702675 J\nB. 781335 J\nC. 430729 J\nD. 102746 J\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A 6.3kg iron bar is heated from 37\u00b0C to 408\u00b0C. Calculate the change in internal energy of the iron bar given that the specific heat of iron is 450 J/kg\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3655407 J\nB. 1377591 J\nC. 1051785 J\nD. 5678249 J\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 16 moles of hydrogen gas and 8 mole of oxygen gas to produce 16 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 3856 kJ\nB. 5078 kJ\nC. 3595 kJ\nD. 3789 kJ\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 2 moles of hydrogen gas and 1 mole of oxygen gas to produce 2 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 482 kJ\nB. 867 kJ\nC. 873 kJ\nD. 212 kJ\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 4 moles of hydrogen gas and 2 mole of oxygen gas to produce 4 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 123 kJ\nB. 964 kJ\nC. 208 kJ\nD. 812 kJ\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 6 moles of hydrogen gas and 3 mole of oxygen gas to produce 6 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 9851 kJ\nB. 7452 kJ\nC. 3065 kJ\nD. 1446 kJ\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 16 moles of hydrogen gas and 8 mole of oxygen gas to produce 16 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5048 kJ\nB. 3856 kJ\nC. 4130 kJ\nD. 1497 kJ\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 4 moles of hydrogen gas and 2 mole of oxygen gas to produce 4 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 369 kJ\nB. 785 kJ\nC. 814 kJ\nD. 964 kJ\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 10 moles of hydrogen gas and 5 mole of oxygen gas to produce 10 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 2410 kJ\nB. 3243 kJ\nC. 7277 kJ\nD. 7530 kJ\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 4 moles of hydrogen gas and 2 mole of oxygen gas to produce 4 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 964 kJ\nB. 809 kJ\nC. 780 kJ\nD. 500 kJ\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 8 moles of hydrogen gas and 4 mole of oxygen gas to produce 8 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 5973 kJ\nB. 7279 kJ\nC. 1928 kJ\nD. 5268 kJ\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the enthalpy change for the reaction between 20 moles of hydrogen gas and 10 mole of oxygen gas to produce 20 moles of water vapor, given that the standard enthalpy of formation for H2O(g) is -241.8 kJ/mol and the bond dissociation energies for H-H, O-O, and H-O bonds are 436 kJ/mol, 498 kJ/mol, and 463 kJ/mol, respectively? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6289 kJ\nB. 4820 kJ\nC. 3580 kJ\nD. 8740 kJ\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 8.55L to a final volume of 14.5 L at a constant temperature of 739 K. The system absorbs 395 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.4 J/K\nB. 6.57 J/K\nC. 0.53 J/K\nD. 3.3 J/K\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 4.69L to a final volume of 12.58 L at a constant temperature of 859 K. The system absorbs 510 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.5 J/K\nB. 0.67 J/K\nC. 0.59 J/K\nD. 0.42 J/K\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 7.89L to a final volume of 14.14 L at a constant temperature of 974 K. The system absorbs 264 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.27 J/K\nB. 4.6 J/K\nC. 2.35 J/K\nD. 5.94 J/K\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 8.07L to a final volume of 9.33 L at a constant temperature of 489 K. The system absorbs 436 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.89 J/K\nB. 6.6 J/K\nC. 2.0 J/K\nD. 3.66 J/K\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 5.07L to a final volume of 8.1 L at a constant temperature of 259 K. The system absorbs 892 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.54 J/K\nB. 3.44 J/K\nC. 9.95 J/K\nD. 1.5 J/K\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 4.82L to a final volume of 8.81 L at a constant temperature of 717 K. The system absorbs 832 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 6.2 J/K\nB. 3.02 J/K\nC. 1.16 J/K\nD. 4.25 J/K\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 5.78L to a final volume of 11.24 L at a constant temperature of 948 K. The system absorbs 361 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.33 J/K\nB. 9.17 J/K\nC. 7.68 J/K\nD. 0.38 J/K\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 8.26L to a final volume of 9.72 L at a constant temperature of 352 K. The system absorbs 391 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.11 J/K\nB. 4.62 J/K\nC. 7.72 J/K\nD. 3.74 J/K\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 4.92L to a final volume of 9.17 L at a constant temperature of 540 K. The system absorbs 409 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.76 J/K\nB. 0.39 J/K\nC. 7.49 J/K\nD. 7.14 J/K\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "A system undergoes an isothermal expansion from an initial volume of 6.23L to a final volume of 9.6 L at a constant temperature of 538 K. The system absorbs 314 J of energy as heat during the process. Calculate the entropy change of the system. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.81 J/K\nB. 5.17 J/K\nC. 7.21 J/K\nD. 0.58 J/K\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 617 grams, if 4749 Joules of heat energy is required to raise its temperature from 59\u00b0C to 76\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.81 J/g\u00b0C\nB. 1.49 J/g\u00b0C\nC. 1.38 J/g\u00b0C\nD. 0.45 J/g\u00b0C\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 417 grams, if 3067 Joules of heat energy is required to raise its temperature from 10\u00b0C to 81\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.81 J/g\u00b0C\nB. 1.18 J/g\u00b0C\nC. 0.1 J/g\u00b0C\nD. 0.69 J/g\u00b0C\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 292 grams, if 2766 Joules of heat energy is required to raise its temperature from 92\u00b0C to 127\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.27 J/g\u00b0C\nB. 1.89 J/g\u00b0C\nC. 1.41 J/g\u00b0C\nD. 0.67 J/g\u00b0C\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 543 grams, if 9805 Joules of heat energy is required to raise its temperature from 34\u00b0C to 84\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.33 J/g\u00b0C\nB. 1.47 J/g\u00b0C\nC. 1.75 J/g\u00b0C\nD. 0.36 J/g\u00b0C\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 349 grams, if 9530 Joules of heat energy is required to raise its temperature from 61\u00b0C to 72\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.2 J/g\u00b0C\nB. 2.48 J/g\u00b0C\nC. 0.77 J/g\u00b0C\nD. 1.83 J/g\u00b0C\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 170 grams, if 5996 Joules of heat energy is required to raise its temperature from 44\u00b0C to 61\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.43 J/g\u00b0C\nB. 1.66 J/g\u00b0C\nC. 2.07 J/g\u00b0C\nD. 0.32 J/g\u00b0C\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 613 grams, if 4000 Joules of heat energy is required to raise its temperature from 36\u00b0C to 134\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.93 J/g\u00b0C\nB. 0.53 J/g\u00b0C\nC. 1.03 J/g\u00b0C\nD. 0.07 J/g\u00b0C\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 900 grams, if 6826 Joules of heat energy is required to raise its temperature from 90\u00b0C to 108\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.42 J/g\u00b0C\nB. 0.7 J/g\u00b0C\nC. 1.37 J/g\u00b0C\nD. 0.98 J/g\u00b0C\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 366 grams, if 3629 Joules of heat energy is required to raise its temperature from 33\u00b0C to 107\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 0.75 J/g\u00b0C\nB. 1.39 J/g\u00b0C\nC. 1.13 J/g\u00b0C\nD. 0.13 J/g\u00b0C\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the specific heat capacity of a copper block with a mass of 474 grams, if 9239 Joules of heat energy is required to raise its temperature from 51\u00b0C to 127\u00b0C. Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 1.49 J/g\u00b0C\nB. 0.56 J/g\u00b0C\nC. 0.26 J/g\u00b0C\nD. 1.86 J/g\u00b0C\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 8767 J of energy to heat up a 2 kg brick from 19\u00b0C to 117\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 44.73 J/(kg\u00b0C)\nB. 70.66 J/(kg\u00b0C)\nC. 26.72 J/(kg\u00b0C)\nD. 16.72 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 4296 J of energy to heat up a 4 kg brick from 34\u00b0C to 83\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 21.92 J/(kg\u00b0C)\nB. 93.37 J/(kg\u00b0C)\nC. 61.7 J/(kg\u00b0C)\nD. 79.23 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 9329 J of energy to heat up a 1 kg brick from 12\u00b0C to 63\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 578.56 J/(kg\u00b0C)\nB. 431.05 J/(kg\u00b0C)\nC. 182.92 J/(kg\u00b0C)\nD. 472.12 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 4019 J of energy to heat up a 5 kg brick from 75\u00b0C to 142\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 77.41 J/(kg\u00b0C)\nB. 25.75 J/(kg\u00b0C)\nC. 96.84 J/(kg\u00b0C)\nD. 12.0 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 4416 J of energy to heat up a 5 kg brick from 35\u00b0C to 81\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 98.27 J/(kg\u00b0C)\nB. 31.38 J/(kg\u00b0C)\nC. 19.2 J/(kg\u00b0C)\nD. 82.86 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 9911 J of energy to heat up a 5 kg brick from 20\u00b0C to 71\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 58.61 J/(kg\u00b0C)\nB. 82.7 J/(kg\u00b0C)\nC. 70.46 J/(kg\u00b0C)\nD. 38.87 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 8761 J of energy to heat up a 8 kg brick from 28\u00b0C to 83\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 78.47 J/(kg\u00b0C)\nB. 15.53 J/(kg\u00b0C)\nC. 19.91 J/(kg\u00b0C)\nD. 36.51 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 5583 J of energy to heat up a 3 kg brick from 25\u00b0C to 110\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 61.35 J/(kg\u00b0C)\nB. 21.89 J/(kg\u00b0C)\nC. 56.65 J/(kg\u00b0C)\nD. 30.78 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 8000 J of energy to heat up a 4 kg brick from 43\u00b0C to 68\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 80.0 J/(kg\u00b0C)\nB. 50.45 J/(kg\u00b0C)\nC. 34.05 J/(kg\u00b0C)\nD. 69.51 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the specific heat capacity of a brick if it takes 9282 J of energy to heat up a 4 kg brick from 74\u00b0C to 165\u00b0C? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 25.5 J/(kg\u00b0C)\nB. 48.89 J/(kg\u00b0C)\nC. 36.63 J/(kg\u00b0C)\nD. 50.12 J/(kg\u00b0C)\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 385 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 420418 Joules\nB. 128590 Joules\nC. 970715 Joules\nD. 583636 Joules\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 751 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 782353 Joules\nB. 250834 Joules\nC. 187145 Joules\nD. 164094 Joules\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 191 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 37758 Joules\nB. 63794 Joules\nC. 68557 Joules\nD. 30575 Joules\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 909 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 181563 Joules\nB. 508940 Joules\nC. 150459 Joules\nD. 303606 Joules\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 898 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 568393 Joules\nB. 284369 Joules\nC. 299932 Joules\nD. 781170 Joules\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 220 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 37738 Joules\nB. 64469 Joules\nC. 84808 Joules\nD. 73480 Joules\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 891 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 297594 Joules\nB. 863436 Joules\nC. 247339 Joules\nD. 275531 Joules\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 427 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 972095 Joules\nB. 142618 Joules\nC. 652965 Joules\nD. 648226 Joules\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 940 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 313960 Joules\nB. 552937 Joules\nC. 816780 Joules\nD. 321222 Joules\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the amount of heat required to completely melt 313 grams of ice at 0\u00b0C into water assuming the latent heat of fusion of ice is 334 J/g? Additionally, please select the option from the given choices that you believe is closest to the correct answer!\n\nA. 464796 Joules\nB. 158898 Joules\nC. 485454 Joules\nD. 104542 Joules\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "Thermodynamics", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 7 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 20677.37 m\nB. 83391.49 m\nC. 39359.16 m\nD. 38006.23 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 3 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 2716.59 m\nB. 8861.73 m\nC. 9602.94 m\nD. 8971.54 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 8 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 16933.66 m\nB. 23631.28 m\nC. 26495.85 m\nD. 67626.83 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 5 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 68519.19 m\nB. 21946.32 m\nC. 66795.42 m\nD. 14769.55 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 3 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 6965.82 m\nB. 8861.73 m\nC. 6030.4 m\nD. 9524.68 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 8 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 40873.38 m\nB. 92710.31 m\nC. 86239.77 m\nD. 23631.28 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 9 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 96219.46 m\nB. 48429.32 m\nC. 26585.19 m\nD. 22995.6 m\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 8 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 23631.28 m\nB. 49930.75 m\nC. 17753.31 m\nD. 51774.91 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 6 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 32602.38 m\nB. 60859.65 m\nC. 17723.46 m\nD. 80019.73 m\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the Schwarzschild radius for a non-rotating black hole with a mass equivalent to the 8 of Sun (1.989 \u00d7 10^30 kg).(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 47632.21 m\nB. 23631.28 m\nC. 61011.68 m\nD. 90604.87 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 9 times of sun and distance 90 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 0.3\nB. 0.48\nC. 0.2\nD. 0.49\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 7 times of sun and distance 75 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 0.66\nB. 0.28\nC. 0.68\nD. 0.47\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 6 times of sun and distance 64 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 0.4\nB. 0.3\nC. 0.28\nD. 1.0\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 7 times of sun and distance 55 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 0.36\nB. 0.12\nC. 0.38\nD. 0.45\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 9 times of sun and distance 36 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 0.64\nB. 0.74\nC. 0.75\nD. 0.19\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 8 times of sun and distance 23 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 2.14\nB. 2.87\nC. 1.03\nD. 1.98\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 1 times of sun and distance 87 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 0.45\nB. 0.64\nC. 0.03\nD. 0.99\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 7 times of sun and distance 18 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 2.92\nB. 7.36\nC. 1.15\nD. 3.35\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 2 times of sun and distance 43 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 0.31\nB. 0.63\nC. 0.14\nD. 0.28\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "What is the predicted deflection angle of light passing near a massive object, given its mass as 4 times of sun and distance 69 km from the observer, according to the theory of General Relativity and the gravitational lensing effect?(Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 0.26\nB. 0.85\nC. 0.17\nD. 0.13\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 7 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 89558.42 m\nB. 20677.37 m\nC. 68383.31 m\nD. 80314.89 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 6 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 63806.88 m\nB. 17723.46 m\nC. 56180.52 m\nD. 90743.99 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 5 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 14769.55 m\nB. 52606.17 m\nC. 11361.25 m\nD. 94647.74 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 8 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 19374.46 m\nB. 19187.95 m\nC. 40655.61 m\nD. 23631.28 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 9 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 26585.19 m\nB. 67751.12 m\nC. 72291.1 m\nD. 27306.34 m\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 9 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 93501.33 m\nB. 89803.12 m\nC. 26585.19 m\nD. 64283.51 m\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 3 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 2643.8 m\nB. 8861.73 m\nC. 2632.5 m\nD. 6114.51 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 6 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 36068.68 m\nB. 18294.75 m\nC. 87587.22 m\nD. 17723.46 m\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 6 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 75381.94 m\nB. 48224.67 m\nC. 17723.46 m\nD. 91395.35 m\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Determine the Schwarzschild radius and event horizon for a black hole with a mass of 6 solar masses, using the Einstein field equations. Additionally, please select the option from the given choices that you believe is closest to the correct answer! (Please note that the following content involves constants might be used in the calculations : mass_of_sun=1.99 * 10^(30) kg; G = 6.67 * 10^(-11) m^(3)\u22c5kg^(\u22121)\u22c5s^(\u22122); c = 3.00 * 10^(8) m/s\n\nA. 99928.11 m\nB. 17723.46 m\nC. 67759.16 m\nD. 61477.32 m\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.17. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 0.86 kg\u00b7m\u00b2/s\nB. 0.42 kg\u00b7m\u00b2/s\nC. 0.93 kg\u00b7m\u00b2/s\nD. 0.36 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.88. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 6.84 kg\u00b7m\u00b2/s\nB. 5.18 kg\u00b7m\u00b2/s\nC. 6.96 kg\u00b7m\u00b2/s\nD. 4.82 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.77. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 6.25 kg\u00b7m\u00b2/s\nB. 9.42 kg\u00b7m\u00b2/s\nC. 4.22 kg\u00b7m\u00b2/s\nD. 2.45 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.15. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 0.71 kg\u00b7m\u00b2/s\nB. 0.82 kg\u00b7m\u00b2/s\nC. 0.4 kg\u00b7m\u00b2/s\nD. 0.19 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.96. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 5.26 kg\u00b7m\u00b2/s\nB. 4.56 kg\u00b7m\u00b2/s\nC. 8.51 kg\u00b7m\u00b2/s\nD. 3.61 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "A" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.75. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 6.12 kg\u00b7m\u00b2/s\nB. 4.11 kg\u00b7m\u00b2/s\nC. 1.26 kg\u00b7m\u00b2/s\nD. 9.87 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "B" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.22. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 1.41 kg\u00b7m\u00b2/s\nB. 6.14 kg\u00b7m\u00b2/s\nC. 1.2 kg\u00b7m\u00b2/s\nD. 5.79 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.63. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 5.81 kg\u00b7m\u00b2/s\nB. 2.28 kg\u00b7m\u00b2/s\nC. 3.12 kg\u00b7m\u00b2/s\nD. 3.45 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.73. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 5.5 kg\u00b7m\u00b2/s\nB. 9.28 kg\u00b7m\u00b2/s\nC. 1.55 kg\u00b7m\u00b2/s\nD. 4.0 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "D" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." }, { "question": "Calculate the angular momentum of a rotating black hole using the Kerr metric if its mass is 5 times that of the sun and its spin parameter is 0.81. (Please note that the following content involves constants might be used in the calculations : (Assume c = G = 1 in your calculation).\n\nA. 8.78 kg\u00b7m\u00b2/s\nB. 3.55 kg\u00b7m\u00b2/s\nC. 4.44 kg\u00b7m\u00b2/s\nD. 2.65 kg\u00b7m\u00b2/s\n\nAnswer:", "answer": [ "C" ], "category": "physics", "topic": "General_relativity", "ability": "Scientific Calculation", "type": "multiple-choice", "task_name": "Dynamic_Physics", "prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\". Please directly give the answer without any explanation.", "cot_prompt": "Given a question and four options, please select the right answer. Your answer should be \"A\", \"B\", \"C\" or \"D\"." } ]