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STANDARDPhysics-Gravitation

STANDARD Physics Gravitational Potential MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A particle of mass M is situated at the centre of a spherical shell of same mass and radius R. The gravitational potential at a point situated at R2\frac{R}{2} distance from the centre will be

Question diagram
A

−3GMR-\frac{3GM}{R}

B

−2GMR-\frac{2GM}{R}

C

−GMR-\frac{GM}{R}

D

−4GMR-\frac{4GM}{R}

Correct Answer

Option A

Detailed Explanation

The gravitational potential at a point due to a mass M at a distance r is given by V=−GMrV = -\frac{GM}{r}. At the centre, the potential due to the particle is −GMR/2-\frac{GM}{R/2} and due to the shell is −GMR-\frac{GM}{R}. Adding these gives −3GMR-\frac{3GM}{R}.

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