Q. Let $V$ and $E$ be the gravitational potential and gravitational field. Then select the correct alternative(s) :

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A

The plot of $E$ against $r$ (distance from centre) is discontinuous for a spherical shell

B

The plot of $V$ against $r$ is continuous for a spherical shell

C

The plot of $E$ against $r$ is discontinuous for a solid sphere

D

The plot of $V$ against $r$ is continuous for a solid sphere

Solution:

For a spherical shell inside $E=0$ but $V=$ constant and outside both are non zero hence options (A) and (B) are correct. For a solid sphere inside $E$ and $V$ both are non zero and varies continuously with distance $r$ from inside to outside hence option (D) is correct.

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