A particle is projected horizontally with velocity`V_(0)=sqrt(2ga)` along the smooth inside surface of a fixed hollow hemisphere of inner radius 'a' at the level of the centre 'O'. The subsequent motion of the particle is confined between the horizontal planes one through the centre and the other at a depth h. Find the value of h:

Options

A. `sqrt(3)/(2)a`
B. `sqrt(3-1)/(3)a`
C. `sqrt(5-1)/(2)a`
D. `sqrt(5)/(2)a`

Answer

C