Question

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

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

Answer 1

Answer: (C)

35 m

Answer 2

Let the particle leave the sphere at height ‘h’ from the bottom

We know for given condition $x = \frac{2}{3}r$

and $h = r + x = r + \frac{2}{3}r = \frac{5}{3}r = \frac{5}{3} \times 21 = 35m$

[As r= 21 m]