Standard Books Physics Gravitational Potential MCQ Question with Solution

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 $\frac{R}{2}$ distance from the centre will be

A

$-\frac{3GM}{R}$

B

$-\frac{2GM}{R}$

C

$-\frac{GM}{R}$

D

$-\frac{4GM}{R}$

Correct Answer

Option A

Detailed Explanation

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

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STANDARD Physics Gravitational Potential MCQ Question

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