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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 center.

A

`-(3GM)/(a)`

B

`-(2GM)/(a)`

C

`-(GM)/(a)`

D

`-(4GM)/(a)`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_(p) =` due to particle + due to shell
`= - (Gm)/(R//2) - (Gm)/(R)`
`= - (3 Gm)/(R)`
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