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 r

Let gravitetional potential is zero at a point p

Gmx2G(4m)(rx)2=0

1x=2(rx)

rx=2x

3x=r

x=r/3

Potential at point p

V=4Gmm(2r/3)Gmm(r/3)

V=Gm(6r+3r)=9Gmr



1534025_40429_ans_4025e132740b4e7daeefd819623b7598.PNG

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