A ball collides with an inclined plane of inclination `theta` after falling through a distance h . If it moves horizontally just after the impact , the coefficient of restitution is

Options

A. `tan^(2) theta`
B. `cot^(2) theta`
C. `tan theta`
D. `cot theta`

Answer

A

Explanation

`e=(v sin theta)/(sqrt(2gh) cos theta)`
Apply conservation of momentum
`msqrt(2gh)=m v cos theta......(i)`
`esqrt(2gh) cos thetaxxm=mv cos theta=.....(ii)`
`(tan theta)/e= cot theta`
`:. e=tan^(2) theta` on solving