GravitationHard

Question

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 distance from the centre, will be

Options

A.
B.
C.
D.

Solution

        
Here,
Mass of the particle = M
Mass of the spherical shell = M
Radius of the spherical shell = a
Point P is at a distance from the centre of the shell as shown in the figure Gravitatiobal potential at point P due to particle at O is
V1 = -
Gravitatiobal potential at point P due to spherical shell is
V2 = -
Hence, total gravitation at point P is
V = V1 + V2
= -

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