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

AIPMTAIPMT 2011Gravitation

Solution:

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gravitational potential at $x$ point
$V _{ x }=\frac{ GM }{ a / 2}+\frac{ GM }{ a }=\frac{3\, GM }{ a }$