Two identical blocks A and B each of mass m resting on the 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

1
\(\sqrt{\frac{m}{2K}} \)
2
\(v\sqrt{\frac{m}{2K}} \)
3
\(\sqrt{\frac{mv}{K}}\)
4
\(\sqrt{\frac{mv}{2K}}\)

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