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Q.

A steel ball of mass 2m suffers one-dimensional elastic collision with a row of three steel balls, each of mass m. If mass 2m has collided with velocity v and the three balls numbered 1,2,3 were initially at rest, then after the collision

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a

balls 1, 2 and 3 would start moving to the right, each with velocity v/3.

b

balls 2 and 3 would start moving to the right, each with velocity v/2

c

balls 2 and 3 would start moving to the right, each with velocity v

d

ball 1 and ball of mass 2m would remain at rest

answer is C.

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Detailed Solution

In option (1), neither momentum nor kinetic energy is conserved so collision is not elastic. Hence, option (1) is not correct.(2) Same difficulty lies with option (2). So, only options (3) and (4) are correct.
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A steel ball of mass 2m suffers one-dimensional elastic collision with a row of three steel balls, each of mass m. If mass 2m has collided with velocity v and the three balls numbered 1,2,3 were initially at rest, then after the collision