Solving questions from India's entrance exam JEE Main

My look at the physics topics covered in this exam:    • This is what an Indian entrance exam ...  

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The questions I solved:

1.It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its energy is Pd while for its similar collision with carbon nucleus at rest, fractional loss of energy is Pc. The values of Pd and Pc are respectively...

2. The mass of a hydrogen molecule is 3.32x10^-27kg. If 10^23 hydrogen molecules strike, per second, a fixed wall of area 2 cm^2 at an angle of 45° to the normal, and rebound elastically with a speed of 10^3 m/s, then the pressure on the wall is nearly...

3. A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid, covering entire cross section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere is...