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 displacement at `r = R`

Answer

2

Explanation

`r lt R , E = (1)/(4 pi in_(0)) (Qr)/(R^(3)) (E prop r)`
`r gt R , E = (1)/(4 pi in_(0)) (Q)/(r^(2)) (E prop 1//r^(2))`
At `r = R , E ` is discontinuous.