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Two bodies of masses m and 4 m are place...

Two bodies of masses m and 4 m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is :

A

`-(4Gm)/(r )`

B

`-(6Gm)/(r )`

C

`-(9Gm)/(r )`

D

`zero`

Text Solution

Verified by Experts

The correct Answer is:
C
`(Gm)/(x^(2))=(4Gm)/((r-x)^(2)) rArr (1)/(x) =(2)/(r-x) " " therefore r-x=2x`
`x=(r )/(3)`
Gravitational potential `V= -(Gm)/((r )/(3))-(4Gm)/((2r)/(3))= -(9Gm)/(r )`
Correct choice : (c )
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