Question 291 of 311

A solid metal sphere of radius $R$ having charge $q$ is enclosed inside the concentric spherical shell of inner radius $a$ and outer radius $b$ as shown in the figure. The approximate variation electric field $\vec{E}$, as a function of distance $r$, from centre $O$, is given by:

ABCD

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Answer: (C)

In the above question, the variation of the electric field with $r$, is,
$\text{For}\begin{matrix}0\lt r\lt R & E=0,\end{matrix}$
$\begin{matrix}\text{for}R\leq r\leq a & E=\dfrac{kQ}{{r}^{2}}\end{matrix},$
\begin{matrix}\text{for}a\lt r\leq b & E=0\end{matrix}&\begin{matrix}r\gt b & E=\dfrac{kQ}{{r}^{2}}\end{matrix}, so the correct graph is,