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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

`(2GM)/(a)`

B

`(3GM)/(a)`

C

`(4GM)/(a)`

D

`(GM)/(a)`

Text Solution

Verified by Experts

The correct Answer is:
B
Refer to Fig.
Gravitational potential at `P`
`V_(P) =` Gravitational potential due to spherical shell on surface
`+` Gravitational potential due to mass `M` at `O`
`= - (GM)/(a) + (-(GM)/(a//2)) = - (3GM)/(a)`
`:.` Magnitude of `V_(P) = (3GM)/(a)`
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