Two identical blocks \( A \) and \( B \) each of mass \( m \) resting on a smooth horizontal flo...

Two identical blocks \( A \) and \( B \) each of mass \( m \) resting on a smooth horizontal floor are connected by a light spring of natural length \( L \) and spring constant \( K \). A third block \( C \) of 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) \( \sqrt{\frac{m v}{2 K}} \)
(b) \( \sqrt{\frac{m}{2 K}} \)
(c) \( \sqrt{\frac{m v}{K}} \)
(d) \( v \sqrt{\frac{m}{2 K}} \)