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A rubber ball is dropped from a height o...

A rubber ball is dropped from a height of `5m `on a plane, where the acceleration due to gravity is not shown. On bouncing it rises to `1.8 m.` The ball loses its velocity on bouncing by a factor of

A

`16//25`

B

`2//5`

C

`3//5`

D

`9//25`

Text Solution

Verified by Experts

The correct Answer is:
C
Since, height after `n^(th)` collision-
`h_n =e^(2n)h_0`
`impliesh_1=e^2 h_0`
`implies e=sqrt(h/h_0)=sqrt((1.8)/5)=sqrt(9/25)=3/5`
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