A hollow smooth uniform solid sphere A of mass m rolls without sliding on a smooth fixed horizontal surface. It collides head on elastically with another stationary smooth solid sphere B of the same mass m and same radius. The ratio of KE of B to that of A just after the collision is

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5 : 2

3 : 2

2 : 3

1 : 1

answer is D.

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Detailed Solution

In a perfect head on elastic collision between the bodies of the same mass the linear velocity will be exchanged between them.
$\frac{K_{B}}{K_{A}} = \frac{\frac{1}{2} {mv}^{2}}{\frac{1}{2} {Iω}^{2}} = \frac{5}{2}$

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