A Particle is kept at rest at the top of a sphere of diameter `42m`.when disturbed slightly, it slides down. At what height `h` from the bottom, the particle will leave the sphere

Options

A. 14 m
B. 28 m
C. 35 m
D. 7 m

Answer

C

Explanation

For hemisphere the particle will leave sphere at height.
(h) `=(2r)/3`

`h = (2 xx 21)/3 = 14 m`
From bottom
`H = r + h = 21 + 14 = 35 m`