MHT CET Mock Test 2021 (11th Chapters) -PCM 100 marks
MHT CET 2021 Chapter-wise Tests (11th Std) MHT CET Mock Test 2021 (11th Chapters) -PCM 100 marks
This Mock test contains a total set of 75 Objective Type Questions. The first set of 25 questions in Physics, the next 25 questions are Chemistry, and then comes Mathematics with a set of 25 questions.
Choice and sequence for attempting questions will be as per the convenience of the candidate.
Read each question carefully.
Determine the one correct answer out of the four available options given for each question.
Each question for Physics and Chemistry will award 1 point. Questions of Maths award's you 2 points each.
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A stone is thrown vertically upwards from the ground with a velocity 15 m/s. At the same instant a ball is dropped from a point directly above the stone from a height of 30 m. At what height from the ground will the stone and the ball meet and after how much time? (Use g = 10 m/s2 for ease of calculation).
A car travels at a speed of 50 km/hr for 30 minutes, at 30 km/hr for next 15 minutes and then 70 km/hr for next 45 minutes. What is the average speed of the car?
A mass 2m moving with some speed is directly approaching another mass m moving with double speed. After some time, they collide with coefficient of restitution 0.5. Ratio of their respective speeds after collision is
A, 2 m long wooden plank of mass 20 kg is pivoted (supported from below) at 0.5 m from either end. A person of mass 40 kg starts walking from one of these pivots to the farther end. How far can the person walk before the plank topples?
Calculate the speed of a satellite in an orbit at a height of 1000 km from the Earth's surface. M(E)=5.98×10^24 kg, R =6.4×10^6 m
0.34 x 10³ m/s
8x 10³ m/s
7.34x 10³ m/s
The binding energy of a satellite revolving around planet in a circular orbit is 3×10^9 J. Its kinetic energy is_______________
6×10^9J
-3 ×10^9J
3 ×10^9J
Consider the following statements-
(I) The coefficient of linear expansion has dimension K-¹
(II) The coefficient of volume expansion has dimension K-¹
I and II are both correct
I is correct but II is wrong
II is correct but I is wrong
I and II are both wrong
A metal sphere cools from 80 °C to 60°C in 6 min. How much time with it take to cool from 60 °C to 40 °C if the room temperature is 30°C?
The temperature difference between two sides of an iron plate, 2 cm thick, is 10 °C. Heat is transmitted through the plate at the rate of 600 kcal per minute per square metre at steady state. Find the thermal conductivity
of iron
0.01 kcal m s°C
0.3 kcal m s°C
When sound waves travel from air to water, which of these remains constant ?
A tuning fork of frequency 170 Hz produces sound waves of wavelength 2m. Calculate speed of sound.
(Ye Que MHT CET ke liye IMP hai Unka Fav word hai tuning fork. har saal 1 que ata hai iska)
Which of the following is not involved in formation of a rainbow?
angular dispersion
angular deviation
total internal reflection
A crane flying 6 m above a still, clear water lake sees a fish underwater. For the crane, the fish appears to be 6 cm below the water surface. For the fish, how much above the water surface does the crane appear? Refractive index of water = 4/3.
Three equal charges of 10×10^-8 C respectively, each located at the corners of a right triangle whose sides are 15 cm, 20 cm and 25 cm respectively. Find the force exerted on the charge located at the 90° angle.
0.59.×10-³ N
A metallic sphere A isolated from ground is charged to +50 µC. This sphere is brought in contact with other isolated metallic sphere B of half the radius of sphere A. The charge on the two sphere will be now in the ratio
The potential barrier in p-n diode is due to:
depletion of positive charges near the junction
accumulation of positive charges near the junction
depletion of negative charges near the junction
accumulation of positive and negative charges near the junction
In case of forward bias, the width of the depletion region ____, in case of reverse bias, the width of the depletion region_____
increases ,decreases
decreases , increases
decreases , decreases
increases, increases
Electrical conduction in the p-type materials is due to ________ as majority charge carriers.
None of these
A velocity-time graph is shown in the adjoining figure.
Calculate the distance travelled by the car in first 6 sec.
An aeroplane has a run of 500 m to take off from the runway. It starts from rest and moves with constant acceleration to cover the runway in 30 sec. What is the velocity of the aeroplane at the take off ?
110 km/hr
One marble collides head-on with another identical marble at rest. If the collision is partially inelastic, determine the ratio of their final velocities in terms of coefficient of restitution e.
(IMP Que in point of view of MHT CET)
1+e/1-e
1-e/1+e
A letter 'E' is prepared from a uniform cardboard with shape and dimensions as shown in the figure. Find its centre of mass.
The gravitational force between two bodies is 1 N. If distance between them is doubled, what will be the gravitational force between them?
Calculate mass of the Earth from given data,
Acceleration due to gravity g = 9.81m/s²
Radius of the Earth RE = 6.37×10^6 m
G = 6.67×10-11 N m²/kg²
5.97 x 10^24 kg
6 x 10^24 kg
10.00x 10^24 kg
Calculate the total energy of an artificial satellite of mass 2000 kg orbiting at a height of 3600 km above the surface of the Earth. Given:- G = 6.67×10^-11 Nm²/kg² ,R = 6400 km ,M = 6×10^24 kg
0.02 ×10^9 J
0.01×10^9 J
40.02 ×10^9 J
Calculate the number of moles and molecules of ammonia (NH3) gas in a volume 67.2 dm³ of it measured
at STP
15.066× 10^23 molecules
18.066 × 10^23 molecules
How many g of H2O are present in 0.25 mol of it ?
Calculate number of moles of hydrogen in 0.448 litre of hydrogen gas at STP
0.01 mol
0.005 mol
What is the wavelength of the photon emitted during the transition from the orbit of n = 5 to that of n = 2 in
hydrogen atom?
In a hydrogen atom, if energy of an electron in ground state is 13.6 eV, then that in the 2nd excited state is
1.51 eV
3.4 eV
13.6 eV
What is the maximum numbers of electrons that can be associated with the following set of quantum numbers?
n = 3, l = 1 and m = –1
When the following bond types are listed in decreasing order of strength (strongest first). Which is the correct
order ?
covalent > hydrogen > vander waals'
covalent > vander waal's > hydrogen
hydrogen > covalent > vander waal's
vander waal's > hydrogen > covalent.
The angle between two covalent bonds is minimum in:
Arrange the following compounds on the basis of lattice energies in decreasing (descending) order: BeF2, AlCl3, LiCl,CaCl2, NaCl
AlCl3 > BeF2 > LiCl >NaCl >CaCl2
AlCl3 > CaCl2 >BeF2 > LiCl >NaCl
AlCl3 > BeF2 > CaCl2 > LiCl >NaCl
BeF2 > AlCl3 > CaCl2 > NaCl > LiCl
A compound contains atoms of three elements A, B and C. If the oxidation state of A is +2, B is +5 and that of C is
-2, the compound is possibly represented by
A2 (BC3)2
A3(BC4)2
A3(B4C)2
The process SO2→ S2Cl2 is
Neither oxidation nor reduction
Oxidation and reduction.
Lithium hydride is treated with aluminium chloride to give lithium _____ hydride
____________is commercially obtained by the electrolysis of saturated aqueous solution of sodium chloride.
barium peroxide
Calculate the volume of 1 mole of a gas at exactly 20 º C at a pressure of 101.35 kPa.
24.055 dm³
The temperature above which a substance cannot be liquified by increasing pressure is called its_____
real temperature
critical temperature
lower temperature
Adsorption is an ____ process
exothermic
exothermic and endothermic
The precipitation of colloids by removal of charge associated with colloidal particles is called _____
Electroosmosis
Which one of the following does not involve coagulation?
Peptization
Formation of delta regions
Treatment of drinking water by potash alum
Clotting of blood by the use of ferric chloride
Rate of physical adsorption increase with
increase in temperature
decrease in pressure
decrease in temperature
decrease in surface area
Among the following select the alkane that is expected to have lowest boiling point
2-Methylpentane
2, 2-Dimethylbutane
The IUPAC name of the following molecule is
2,3-Dimethyl hept-5-ene
5-Isopropyl hex-2-ene
The statement that is NOT correct is
Compressibility factor measures the deviation of real gas from ideal behaviour.
Van der Waals constant 'a' measures extent of intermolecular attractive forces for real gases.
Critical temperature is the lowest temperature at which liquefaction of a gas first occurs.
Boyle point depends on the nature of real gas.
The ratio of masses of oxygen and nitrogen in a particular gaseous mixture is 1 : 4. The ratio of number of their molecule is
Angular quantum number signifies the shape of the orbital
Energies of stationary states in hydrogen like atoms is inversely proportional to the square of the principal quantum number
Total number of nodes for 3s orbital is three.
The radius of the first orbit of He+ is half that of the first orbit of hydrogen atom.
The number of angular and radial nodes of 4d orbital respectively are
If tan A − tan B = x and cot B − cotA = y then cot (A − B ) = …
1/y -1/x
1/x – 1/y
1/x + 1/y
xy/x-y
The numerical value of tan20º tan80º cot50º is equal to…..
1/√3
2√3
1/2√3
Find the distance of the point P (2,5 ) from the line 3x + 4 y +14= 0
If kx+2y−1=0 and 6x−4y+2=0 are identical lines, then determine k
-1/3
Find the equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line y − 4x + 3 = 0
x²+ y² − 4x + 10y + 25 = 0
x²+ y² − 4x − 10y – 25 = 0
x²+ y² + 4x − 10y – 25 = 0
x²+ y² − 4x − 10y + 25 = 0
If the lines 3x − 4y + 4 = 0 and 6x − 8y − 7 = 0 are tangents to a circle, then find the radius of the circle
The means of two samples of sizes 10 and 20 are 24 and 45 respectively and the standard deviations are 6 and 11. Obtain the standard deviation of the sample of size 30 obtained by combining the two samples.
If the observations of a variable X are, −4, −20, −30, −44 and −36, then the value of the range will be:
Bag A contains 3 red and 2 white balls and bag B contains 2 red and 5 white balls. A bag is selected at random, a ball is drawn and put into the other bag, and then a ball is drawn from that bag. Find the probability that both the balls drawn are of same color.
The chances of X, Y, Z becoming managers of a certain company are 4:2:3. The probabilities that the bonus scheme will be introduced if X, Y, Z become managers are 0.3, 0.5 and 0.8 respectively. If the bonus scheme has been introduced, what is the probability that X is appointed as the manger?
You have 2 identical books on English, 3 identical books on Hindi, and 4 identical books on Mathematics. Find the number of distinct ways of arranging them on a shelf
A group consists of 9 men and 6 women. A team of 6 is to be selected. How many of possible selections will have at least 3 women?
The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently.