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Questions  

A particle of mass M is at a distance ‘R’ from the surface of a thin spherical shell of mass M uniformly distributed over its surface, R is the radius of the shell. Now select the correct option.

a
Gravitational field and potential both are zero at the centre of the shell.
b
Gravitational potential at the centre is zero but gravitational field is not zero.
c
At any point inside the shell only gravitational field is zero.
d
Neither gravitational field nor gravitational potential is zero inside the shell.

detailed solution

Correct option is D

Gravitational field inside the shell is not zero and produced by point mass M only. Where as  gravitational potential inside the shell is produced by the shell as well as by the particle.

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