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Two spheres each of mass M and radius R ...

Two spheres each of mass `M` and radius `R` are separated by a distance of `r`. The gravitational potential at the midpoint of the line joining the centres of the spheres is

A

`-(GM)/r`

B

`-(2Gm)/r`

C

`-(GM)/(2r)`

D

`-(4GM)/r`

Text Solution

Verified by Experts

The correct Answer is:
D
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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