Question

# 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
zero
B
4Gmr
C
6Gmr
D
9Gmr.
Solution
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#### Given:Two masses m and 4m kept at a distance rLet gravitetional potential is zero at a point pGmx2−G(4m)(r−x)2=01x=2(r−x)r−x=2x3x=rx=r/3Potential at point pV=−4Gmm(2r/3)−Gmm(r/3)V=−Gm(6r+3r)=−9Gmr

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