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.
Answer :
Solution :
The Gravitational field due to a thin spherical shell of radius $$R$$ at distance $$r.$$
$$E = \frac{{GM}}{{{r^2}}}\,\,\left( {{\text{If }}r > R} \right)$$
For $$r = R$$ i.e. on the surface of the shell
$$E = \frac{{GM}}{{{R^2}}}$$
For $$r < R$$ i.e. inside the shell $$E = 0$$
The Gravitational field due to a thin spherical shell of radius $$R$$ at distance $$r.$$
$$E = \frac{{GM}}{{{r^2}}}\,\,\left( {{\text{If }}r > R} \right)$$
For $$r = R$$ i.e. on the surface of the shell
$$E = \frac{{GM}}{{{R^2}}}$$
For $$r < R$$ i.e. inside the shell $$E = 0$$