Gravitation - Result Question 30

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

[2011M]

(a) 2GMa

(b) 3GMa

(c) 4GMa

(d) GMa

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Answer:

Correct Answer: 31. (b)

Solution:

(b) VP=Vspherical shell +Vparticle 

=GMa+GMa/2=3GMa

At every point, inside a spherical shell of radius R, the gravitational potential is same as that on that surface of the shell, i.e.,

V=GMR



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