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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 uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance `a/2` from the centre.

A

`(4GM)/a`

B

`(GM)/a`

C

`-(2GM)/a`

D

`-(3GM)/a`

Text Solution

Verified by Experts

The correct Answer is:
D

Gravitational potential at `P`
`V_(P)=V_("Shell")+V_("point mass")`
`=-(GM)/a-(GM)/(a//2)=-(3GM)/a`
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