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Question

Two particles of masses m and 4 m are separated by a distance r. At a point on the line joining them the gravitational field is zero. The gravitational potential at that point is (G= Universal constant of gravitation)

A
4Gmr
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B
9Gmr
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C
15Gmr
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D
32Gmr
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Solution

The correct option is B 9Gmr
Let x be the point where gravitational field is zero.
Gmx2=G(4m)(rx)2
So, 1x=2rx
(rx)=2x
x=r3
Therefore, the point P is at a distance r3 from m and 2r3 from 4m
V=Gmr3G(4m)2r3
V=9Gmr

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