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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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zero as r increases for r < R and increases as r increases for r > R

zero as r increases for r < R and decreases as r increases for r > R

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

decreases as r increases for r < R and for r > R

answer is C.

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Detailed Solution

In a uniformly charged hollow conducting sphere,

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

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