Two billiard balls \(A\) and \(B,\) each of mass \(50~\text g\) and moving in opposite directions with a speed of \(5~\text{m/s}\) each, collide and rebound at the same speed. If the collision lasts for \(10^{-3}~\text s, \) then;

(a) the impulse imparted to each ball is \(0.25~\text{kg-ms}^{-1}\) and the force on each ball is \(250~\text N\)
(b) the impulse imparted to each ball is \(0.25~\text{kg-ms}^{-1}\) and the force exerted on each ball is \(25\times 10^{-5}~\text N\)
(c) the impulse imparted to each ball is \(0.5~\text{N-s}\)
(d) the impulse and the force on each ball are equal in magnitude and opposite in direction.


Which of the following statement(s) is/are true?

1. (a) and (c) only
2. (a) and (b) only
3. (c) and (d) only
4. (b) and (c) only