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

Question

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

Tardigrade Admin · Accepted Answer

Gravitational field due to the thin spherical shell
Inside the shell, i.e. (For

r < R

)

F = 0

On the surface of the shell, i.e. (For

r = R

)

F = \frac{GM}{R ^{2}}

Outside the shell, i.e. (For

r > R

)

F = \frac{GM}{r ^{2}}

The variation of

F

with distance

r

from the centre is as shown in the adjacent figure.

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

Gravitational field due to the thin spherical shell Inside the shell, i.e. (For r<R ) F=0 On the surface of the shell, i.e. (For r=R ) F=R2GM​ Outside the shell, i.e. (For r>R ) F=r2GM​ The variation of F with distance r from the centre is as shown in the adjacent figure.

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