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Two bodies of masses M1 and M2 are placed at a distance R apart. Then at the position where the gravitational field due to them is zero, the gravitational potential is

A
GM1R
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B
GM2R
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C
(M1+M2)2GR
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D
(M1M2)2GR
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Solution

The correct option is C (M1+M2)2GR
Let O be the point where gravitational field due to the masses is Zero.
Thus, GM1mx2GM2m(Rx)2=0x=M1RM1+M2
Now gravitational potential at point O, Vo=[GM1x2]+[GM2(Rx)2]
Put the value of x, Vo=(M1+M2)2GR

417122_161389_ans.png

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