Gravitation - Result Question 31
32. 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:
[2010]
(a) $-\frac{3 G M}{a}$
(b) $-\frac{2 G M}{a}$
(c) $-\frac{G M}{a}$
(d) $-\frac{4 G M}{a}$
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Answer:
Correct Answer: 32. (a)
Solution:
- (a) Potential at the given point $=$ Potential at the point due to the shell + Potential due to the particle
$=-\frac{G M}{a}-\frac{2 G M}{a}=-\frac{3 G M}{a}$
