Question

Let $V$ and $E$ be the gravitational potential and gravitational field at a distance $r$ from the centre of a uniform spherical shell. Consider the following two statements, ($A$) The plot of $V$ against $r$ is discontinuous and ($B$) The plot of $E$ against $r$ is discontinuous.

• A. Both A and B are correct
• B. A is correct but B is wrong
• C. B is correct but A is wrong
• D. both A and B are wrong.

Answer 1

The correct option is C B is correct but A is wrong

Let $V$ be the gravitational potential and $E$ be the gravitational field at a distance $r$ from the center of the sphere.

Graphically as shown in above images.

From IMAGE $1$ and IMAGE $2$

IMAGE $1$ Plot of $V$ against $r$ is continuous.

IMAGE $2$ Plot of $E$ against $r$ is discontinuous.

Thus condition $A$ is wrong and $B$ is correct.