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

Answer

B

Explanation

Writing coefficient of restitution equation
`e=(v_(2)-v_(1))/(u_(1)-u_(2))=(0-vsintheta)/(-v_(0)costheta-0)=v/(v_(0)) tantheta` ………….i
The velocity of ball will remain unchanged in the direction of sloping surface (common tangent)

`v_(0)sintheta=vcostheta`
`implies v/(v_(0))=tantheta` .............ii
`implies e=tan^(2)theta`