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Two concentric shells have masses `M` and `m` and their radii are `R` and `r`, respectively, where `R gt r`. What is the gravitational potential at their common centre?

A

`-(GM)/R`

B

`-(GM)/r`

C

`-G[M/R-m/r]`

D

`-G[M/R+m/r]`

Text Solution

Verified by Experts

The correct Answer is:
D
`V=-(GM)/R+(-(Gm)/r)=-G[M/R+m/r]`
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