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A body is allowed to fall freely under g...

A body is allowed to fall freely under gravity from a height of `10m.` If it looses `25%` of its energy due to impact with the ground, then the maximum height it rises after one impact is

A

2.5m

B

5.0m

C

7.5m

D

8.2m

Text Solution

Verified by Experts

The correct Answer is:
C
Just before impact,energy
E=mgh=10mg …..(1)
just after impact
`E_(1)mgh-(25)/(100)mgh=0.75` mgh
Hence,`mgh_(1)=E_(1)` (from given figure)
`mgh_(1)`=0.75mg (10)
`h_(1)`=7.5m
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