Question

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

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

Answer 1

The correct option is C 35 m

As we know for hemisphere the particle will leave the sphere at height h = $\frac{2r}{3}$
h = $\frac{2}{3}\times$ 21= 14 m
but from the bottom
H = h +r = 14 + 21 = 35 metre