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Question

A steel ball falls from a height h on a floor for which the coefficient of restitution is e. The height attained by the ball after two rebounds is

A
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B
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C
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D
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Solution

The correct option is D
The velocity attained after a fall through a height h is given by v2=2gh
Thus hv2 The velocity after first rebound is ev. Therefore, the height attained after first rebound = e2h. Velocity after second rebound is e2v. Hence the height attained after second rebounds is e4h. Thus the correct choice is (d).

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