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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
( 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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