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A hollow metal sphere of radius $R$ is uniformly charged. The electric field due to the sphere at a distance $r$ from the centre

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Decreases as $r$ increases for $r < R$ and for $r > R$

Increases as $r$ increases for $r < R$ and for $r > R$

Zero as $r$ increases for $r < R$ , decreases as $r$ increases for $r > R$

Zero as $r$ increases for $r < R$ , increases as $r$ increases for $r > R$

answer is C.

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Detailed Solution

In a uniformly charged hollow conducting sphere,

(i) For $r < R$ , $\vec{E} = 0$

(ii) For $r > R$ , $\vec{E} = \frac{1}{4 {πε}_{0}} \frac{Q}{|{\vec{r}}^{2}|} \hat{r}$ ; $\vec{E}$ decreases as r increases.

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