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Question

# A solid sphere of mass 2M and radius R is enclosed by a spherical shell of mass M and radius 2R. Then, the potential at a point P on the surface of the solid sphere is:

A
GMR
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B
4GMR
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C
5GMR
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D
5GM2R
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Solution

## The correct option is D −5GM2R Potential due to solid sphere, at its surface is given by V1=−G(2M)R Potential due to spherical shell is given by, At the point P ,V2=−GM2R Total potential at point P, Vnet=V1+V2 Vnet=−G(2M)R+−GM2R Vnet=−5GM2R Hence, option (D) is the correct answer.

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