A nonconducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its center

Options

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

Answer

A, C

Explanation

Inside the sphere `E=1/(4pi epsi_(0)). (Q)/(R^(3))r rArr E alpha r" for "r le R`

i.e., E at centre = 0 as r = 0 and E at surface `=(1)/(4pi epsi_(0)).(Q)/(R^(2))" as "r=R`
Outside sphere `, E=(1)/(4piepsi_(0)). Q/r^(2)" for "r le R or E alpha 1/r^(2)`