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NEET 2011 (AIPMT, Mains) · Gravitational Potential & Energy

Gravitational Potential & Energy question from NEET 2011 (AIPMT, Mains)

Q33NEET 2011 · AIPMT · MAINSMedium

Gravitational Potential & Energy

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:

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Answer: (c)

Due to the particle at $\frac{a}{2}$ : $V_1 = -\frac{GM}{a/2} = -\frac{2GM}{a}$
Inside the shell its potential is constant: $V_2 = -\frac{GM}{a}$
$|V| = \frac{2GM}{a} + \frac{GM}{a} = \frac{3GM}{a}$
So the answer is (c) $\frac{3GM}{a}$ .

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