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 spring constant K, with the 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 [EAMCET 2003]

• A. \[v\sqrt{\frac{m}{2k}}\]
• B. \[m\sqrt{\frac{v}{2k}}\]
• C. \[\sqrt{\frac{mv}{k}}\]
• D. \[\frac{mv}{2k}\]