A particle of mass $M$ is situated at the centre of spherical shell of mass and radius $a$ . The magnitude of the gravitational potential at a point situated at $a / 2$ distance from the centre, will be

\frac{2 G M}{a}

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\frac{3 G M}{a}

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\frac{4 G M}{a}

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\frac{G M}{a}

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Solution

The correct option is C $\frac{3 G M}{a}$
$V_{P} = V_{s p h e r e} + V_{p a r t i c a l}$
$= \frac{G M}{a} + \frac{G M}{a / 2} = \frac{3 G M}{a}$

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