Two identical blocks A and B, each of mass ‘m’ resting on smooth floor are connected by a light spring of natural length L and the spring constant K, with spring at its natural length. A third identical block ‘C’ (mass m) moving with a speed v along the line joining A and B collides with A. The maximum compression in the spring is

Q: Two identical blocks A and B, each of mass ‘m’ resting on smooth floor are connected by a light spring of natural length L and the spring constant K, with spring at its natural length. A third identical block ‘C’ (mass m) moving with a speed v along the line joining A and B collides with A. The maximum compression in the spring is

(a) $v \sqrt{\frac{m}{2 k}}$

(b) $ m \sqrt{\frac{v}{2 k}}$

(c) $ \sqrt{\frac{m v}{ k}}$

(d) $ \frac{m v}{2 k}$

Ans: (a)