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(D) For a thin spherical shell of radius $R$ carrying a total charge $Q$:$1$. Inside the shell $(r < R)$: The electric field $|\vec{E}(r)| = 0$ and th

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(D) For a thin spherical shell of radius $R$ carrying a total charge $Q$:$1$. Inside the shell $(r $2$. Outside the shell $(r \geq R)$: The electric field $|\vec{E}(r)| = \frac{kQ}{r^2}$ (inversely proportional to $r^2$) and the electric potential $V(r) = \frac{kQ}{r}$ (inversely proportional to $r$).Comparing these properties with the given options, the graph that shows zero electric field inside $(r < R)$, a sudden jump at $r = R$, and a $1/r^2$ decay outside, combined with a constant potential inside and a $1/r$ decay outside, is represented by option $D$.

For a thin spherical shell of radius $R$ with a uniform surface charge density, which of the following graphs best represents the variation of the electric field magnitude $|\vec{E}(r)|$ and the electric potential $V(r)$ with the distance $r$ from the center?

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