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Question

A body falls from a height 'h' on a horizontal surface and rebounds. Then it falls again and again rebounds and so on. If the restitution coefficient is 13, the total time taken by the body to come to rest 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 B
Total time taken by the ball to stop bouncing
T=t0+2t1+2t2+2t3+=2hg+2e2hg+2e22hg+=2hg+22hg(e+e2+)=2hg+22hge(1e)=2hg(1+e1e)=2hg(1+13113)=22hg
Hence the correct choice is (b).

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