A tennis ball, starting from rest, rolls down the hill in the drawing. At the end of the hill the ball becomes airborne, leaving at an angle of `37^(@)` with respect to the ground treat the ball as a thin-walled spherical shell.
Q. The velocity of projection `v` is

Options

A. `sqrt(2gh)`
B. `sqrt((10)/(7)gh)`
C. `sqrt((5)/(7)gh)`
D. `sqrt((6)/(5)gh)`

Explanation

`K_("total")` after falling a height `h` is mgh
`(K_(R))/(K_(T))=(2)/(3)`
`thereforeK_(T)=(1)/(2)mv^(2)=((3)/(5))(mgh)`
`thereforev=sqrt((6gh)/(5))`