Three blocks are placed on smooth horizontal surface and lie on same horizontal straight line. B...

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Three blocks are placed on smooth horizontal surface and lie on same horizontal straight line. Block 1 and block 3
P have mass \( m \) each and block 2 has mass \( M(Mm) \). Block 2 W 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?
(1) \( 5+\sqrt{2} \)
(2) \( 5-\sqrt{2} \)
(3) \( 2+\sqrt{5} \)
(4) \( 3+\sqrt{5} \)
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