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NEET2023Physics-Gravitation

NEET 2023 Physics Gravitational Potential MCQ Question

Type: MCQ-numerical-Medium-Class 11
Two bodies of mass m and 9m are placed at a distance R. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be (G = gravitational constant):
A
−12 GmR
B
−16 GmR
C
−20 GmR
D
−8 GmR

Correct Answer

Option B

Detailed Explanation

The point where the gravitational field is zero is at a distance x=R3x = \frac{R}{3} from the mass mm. The potential at this point is V=−Gmx−9GmR−x=−3GmR−9Gm2R3=−16GmRV = -\frac{Gm}{x} - \frac{9Gm}{R-x} = -\frac{3Gm}{R} - \frac{9Gm}{\frac{2R}{3}} = -\frac{16Gm}{R}.

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