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

Options

A. decreases as r increases for `r lt R` and for `r gt R`
B. increases as r increases for `r lt R` and for `r gt R`
C. zero as r increases for `r lt R`, decreases as r increases for `r gt R`
D. zero as r increases for `r lt R`, increases as r increases for `r gt R`

Answer

C

Explanation

In a uniformly charged hollow conducting sphere,
(i) For `r lt R, vec(E) = 0`
(ii) For `r gt R, vec(E) = (1)/(4pi epsilon_(0))(Q)/(|vec(r)^(2)|)hat(r), :. vec(E)` decreases