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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)/(2 r)`

D

`-(4GM)/( r)`

Text Solution

Verified by Experts

The correct Answer is:
D
(d)
Let P is the midpoint of the line joining the centres of the spheres.
The gravitational potential at point P is
`V_(P)= -(GM)/(r//2)-(GM)/(r//2)=- (2GM)/(r )-(2GM)/( r)= -(4GM)/( r )`
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