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A body dropped form a certain height st...

A body dropped form a certain height strikes the ground and rises to a height of 108 cm , after striking the ground . The Coeffiednt of restitution is 0.6 . What is the height form which the body was dropped ?

A

2 m

B

3 m

C

3.5 m

D

4 m

Text Solution

Verified by Experts

The correct Answer is:
B
If a body is dropped from a height `h_(1)` and after striking the ground it rises upto a height `h_(2)` , then the coefficient of restitution is give by
` e = sqrt(( h_(2))/(h_(1)) therefore e^(2) = (h_(2))/(h_(1))`
` therefore h_(1) = (h_(2))/(e^(2)) = (1.08)/(0.6 xx 0.6) = (1.08)/(0.36) = 3 m`
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