A particle of mass M is situated at centre of a spherical shell of same mass and radius a . gravitat

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7.Gravitation

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

A

$\frac {-\,GM}{a}$

B

$\frac {-\,2GM}{a}$

C

$\frac {-\,3GM}{a}$

D

$\frac {-\,4GM}{a}$

Solution

$\mathrm{V}_{\mathrm{p}}=\frac{-\mathrm{GM}}{\mathrm{a}}+\left(\frac{-\mathrm{GM}}{\mathrm{a} / 2}\right)=\frac{-3 \mathrm{GM}}{\mathrm{a}}$

Standard 11

Physics

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