A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric filed due to the sphere at a distance r from its centre

Options

A. increases as `r` increases for `r lt R`
B. decreases as `r` increases for `0 lt r lt oo`
C. decreases as `r` increases for `R lt r lt oo`
D. is discontiues at `r = R`

Answer

A, C

Explanation

for `r lt R, E = (kQ)/(R^(3)) r, i.e., E prop r`
for `r gt R, i.e., R lt r lt oo, E = (kQ)/(r^(2)), i.e., E prop (1)/(r^(2))`