The variation of electrostatic potential V wi | vedclass

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(C) For a positively charged metallic thin shell of radius $R$:$1$. Inside the shell $(r < R)$,the electric field is zero,which implies that the elect

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(C) For a positively charged metallic thin shell of radius $R$:$1$. Inside the shell $(r $V = \frac{q}{4 \pi \varepsilon_{0} R} = 	ext{constant}$$2$. Outside the shell $(r \geq R)$,the shell behaves as a point charge placed at the centre. Thus,the potential varies inversely with distance.$V = \frac{q}{4 \pi \varepsilon_{0} r} \implies V \propto \frac{1}{r}$Therefore,the graph shows a constant potential for $r < R$ and a hyperbolic decrease for $r \geq R$,which matches the graph in option $C$.

The variation of electrostatic potential $V$ with radial distance $r$ from the centre of a positively charged metallic thin shell of radius $R$ is given by the graph:

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