Are there any specific restrictions on which laws will continue to be in force after the constitution came into effect?
Yes, there are specific restrictions on which laws will continue to be in force after the constitution came into effect. The following are mentioned:

1. The expression "law in force" does not include a law that was passed or made by a Legislature or other competent authority outside India before the commencement of this Constitution and not previously repealed, unless it is operating either at all or in specific areas within India.
2. Any law that had extra-territorial effect as well as an effect within the territory of India immediately before the commencement of this Constitution will continue to have such extra-territorial effect but subject to adaptations and modifications.
3. Temporary laws that were in force immediately before the commencement of this Constitution will not be continued beyond their expiration date or the date they would have expired if the constitution had not come into effect.
4. An Ordinance promulgated by the Governor of a Province under section 88 of the Government of India Act, 1935, and in force immediately before the commencement of this Constitution will cease to operate at the expiration of six weeks from the first meeting after such commencement of the Legislative Assembly of that State functioning under clause (1) of article 382.

These restrictions are provided as explanations to Article 372(1) of the Indian constitution, which states that all laws in force in India before the commencement of this Constitution shall continue to be in force until altered or repealed or amended by a competent legislature or other authority.