Question

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

• 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

Answer 1

Answer: (A), (B), (D)

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.