Two billiard balls A and B, each of mass 50g and moving in opposite directions with speed of 5m s^-1 each, collide and rebound with the same speed. If the collision lasts for 10^-3 s, which of the following statements are true?

(a) The impulse imparted to each ball is 0.25 kg m s^-1 and the force on each ball is 250 N.

(b) The impulse imparted to each ball is 0.25 kg m s–1 and the force exerted on each ball is 25 * 10^-5 N.

(c) The impulse imparted to each ball is 0.5 Ns.

(d) The impulse and the force on each ball are equal in magnitude and opposite in direction.

Two SHMs in same direction are represented by y1 = asinωt and y2 = asin(ωt + δ). When they superimpose, the initial phase difference of the resultant SHM is

The potential energy of a particle of mass 2 kg in motion along the x-axis is given by U = 2 (1 – cos 2x) J, where x is in meters. The period of small oscillations (in s) is

A child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that the moment of inertia of the system becomes 3/2 of the initial moment of inertia. The kinetic energy of the system is now

If the absolute temperature of hot black body is raised by 2%, by how much percentage rate of heat energy radiated would be increased nearly?

Two moles of helium gas are taken over the cycle ABCDA as shown below in P-T diagram. Assuming the gas to be ideal, the work done on the gas in taking from A to B is