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Three blocks are placed on smooth horizo...

Three blocks are placed on smooth horizontal surface and lie on same horizontal straight line. Block 1 and block 3 have mass `m` each and block 2 has mass `M (M gt gt m)`. Block 2 and block 3 are initially stationary, while block 1 is initially moving towards block 2 with speed `v` as shown. Assume that all collisions are head on and perfectly elastic. What value of `M//m` ensures that block 1 and block 3 have the same final speed?

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