Question

Which one of the following plots represents the variation of gravitational field on a particle with distance $r$ due to a thin spherical sheet of radius $R$ ? ($r$ is measured from the centre of the spherical shell)

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Gravitational field due to the thin spherical shell
1. Inside the shell, $(\text{for}r<R)E_g=0$

2. On the surface of the shell, (for $r=R$)
$E_g=\frac{GM}{R^2}$

3. Outside the shell, (for $r>R$)
$E_g=\frac{GM}{r^2}$

The variation of $E$ with distance $r$ from the centre is as shown in the figure.
Hence, option $B$ is correct.