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(D) For a thin spherical shell of radius $R$ carrying a total charge $Q$:$1$. Electric Field $(E)$:Inside the shell $(r < R)$,the electric field is ze

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(D) For a thin spherical shell of radius $R$ carrying a total charge $Q$:$1$. Electric Field $(E)$:Inside the shell $(r At the surface $(r = R)$,the electric field is $E_s = \frac{KQ}{R^2}$.Outside the shell $(r > R)$,the electric field is $E_{out} = \frac{KQ}{r^2}$,which decreases as $1/r^2$.$2$. Electric Potential $(V)$:Inside the shell $(r \le R)$,the electric potential is constant and equal to the potential at the surface,i.e.,$V_{in} = \frac{KQ}{R}$.Outside the shell $(r > R)$,the electric potential is $V_{out} = \frac{KQ}{r}$,which decreases as $1/r$.Comparing these characteristics with the given options,graph $D$ correctly shows $E=0$ for $r < R$ and a constant $V$ for $r \le R$.

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