A particle of mass M is placed at centre of a uniform spherical shell of mass 2M and radius R .

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7.Gravitation

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A particle of mass $M$ is placed at the centre of a uniform spherical shell of mass $2M$ and radius $R$. The gravitational potential on the surface of the shell is

A

$-\frac{GM}{R}$

B

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

C

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

D

Zero

Solution

$\therefore \mathrm{V}_{\text {Surface }}=\mathrm{V}_{\text {Shell }}+\mathrm{V}_{\mathrm{M}}$

${=\frac{-G[2 M]}{R}-\frac{G M}{R}}$

${=-\frac{3 G M}{R}}$

Standard 11

Physics

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