Let V and E be the gravitational potential and gravitational fiel… - Vidyadip

MCQ

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.
$B.$ The plot of $E$ against $r$ is discontinuous.

A
Both $A$ and $B$ are correct.
B
$A$ is correct but $B$ is wrong.
✓
$B$ is correct but $A$ is wrong.
D
Both $A$ and $B$ are wrong.

✓

Answer

Correct option: C.

$B$ is correct but $A$ is wrong.

The plot of $E$ against $r$ is discontinuous as gravitational field inside the spherical shell is zero $(r < R).$ The plot of $V$ against $r$ is a continuous curve for a uniform spherical shell.

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