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A particle of mass m is placed at the ce...

A particle of mass m is placed at the centre of a unifrom spherical shell of mass 3 m and radius R The gravitational potential on the surface of the shell is .

A

`- (Gm)/( R)`

B

`- (3Gm)/( R)`

C

` - (4Gm)/( R)`

D

`- (2Gm)/( R)`

Text Solution

Verified by Experts

The correct Answer is:
C
Gravitational potential on the surface of the shell is V = Gravitational potential due to particle `(V_1)` + Gravitational potential due to shell itself `(V_2)`
` = - (Gm)/( R) + ( - (G3m)/( R)) = - (4Gm)/( R)`
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