Two bodies of masses m and M are placed at a distance d apart. The gravitational potential at the position where the gravitational field due to them is zero is V. Then:
V=−Gd(m+M)
V=Gd
V=−Gd
V=−Gd(√m+√M)2
A
V=−Gd
B
V=−Gd(√m+√M)2
C
V=−Gd(m+M)
D
V=Gd
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Solution
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Let that point be x distance from m
Then −GM(d−x)2=−Gmx2
⇒d−xx=√Mm
Potential=−GMd−x−Gmx
Potential=−Gd(√M+√m)2
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