1.

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 :

Answer»

`-(4Gm)/(r )`
`-(6Gm)/(r )`
`-(9Gm)/(r )`
`ZERO`

Solution :`(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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