Q. 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) $7\ m$
Explanation
(c) As we know for hemisphere the particle will leave the sphere at height $h = 2r/3$
$h = \frac{2}{3} \times 21 = 14m$
But from the bottom
$H = h + r = 14 + 21 = 35\ metre$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.