A sphere of mass m makes SHM in a hemispherical bowl ABC and it moves from A to C and back to A via ABC, so that PB = h. If acceleration due to gravity is g, the speed of the ball when it just crosses the point B is

Options

A. `2gh`
B. `mgh`
C. `sqrt(2gh)`
D. `(gh)/(2)`

Answer

C

Explanation

Potential energy at A is converted into K.E. at B
`thereforemgh=(1)/(2)mv_(B)^(2),V_(B)^(2)=2gh,v_(B)=sqrt(2gh)`