A body from height h is dropped, if the coefficient of restitution is e, then calcualte the height achieved after one bounce.

Options

A. `h_(1) = e^(4)h`
B. `h=eh_(1)`
C. `h_(1)=he^(2)`
D. `h = h_(1)//e`

Answer

C

Explanation

When a body falls from height h, it strikes the ground with a velocity `v = sqrt(2gh)`. Let it rebounced with a velocity v and rise to a height `h_(1)`.
`v = sqrt(2gh_(1) rArr e=v/u = (sqrt(h_(1)/h)`
Clearly, `h_(1) = e^(2)h`