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A perfectly elastic ball $Q_{1}$ of mass m moving with velocity $v$ collides elastically with three exactly similar balls $Q_{2}, Q_{3}, Q_{4}$ lying on a smooth table as shown. Velocities of the four balls after the collision are

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$v, v, v, v$

$0, 2v, 3v, 4v$

$0, 0, 0, v$

$0, 0, 0, 0$

answer is C.

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Detailed Solution

When a body collides another identical body at rest the body comes to rest and second body moves with the velocity of $I^{s t}$ body OR

When masses are same in ellastic collision, velocities are exchanged

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