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A cavity of radius R//2 is made inside a...

A cavity of radius `R//2` is made inside a solid sphere of radius `R`. The centre of the cavity is located at a distance `R//2` from the centre of the sphere. The gravitational force on a particle of a mass `'m'` at a distance `R//2` from the centre of the sphere on the line joining both the centres of sphere and cavity is (opposite to the centre of cavity). [Here `g=GM//R^(2)`, where `M` is the mass of the solide sphere]

A

`(mg)/(2)`

B

`(3mg)/(8)`

C

`(mg)/(16)`

D

None of these

Text Solution

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The correct Answer is:
B
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