A uniform ring of mass `m` and radius `a` is placed directly above a uniform sphere of mass `M` and of equal radius. The centre of the ring is at distance `sqrt(3)a` from the centre of the sphere. Find the gravitational force exerted by the sphere on the ring.

Options

A. `(8GM^(2))/(R^(2))`
B. `(2GM^(2))/(sqrt(3)R^(2))`
C. `(3GM^(2))/(2R^(2))`
D. `(sqrt(3))/(2)(GM^(2))/(R^(2))`

Answer

D