If there were only one type of charge of the universe then

Options

A. `oint_(S)E.dS ne0` on any surface
B. `oint_(S)E.dS=0` if the charge is outside the surface.
C. `oint_(S)E.dS` could not be defined.
D. `oint_(S)E.dS=(q)/(epsi_(0))` if charges of magnitude q were inside the surface.

Answer

C, D

Explanation

Gauss' law states `oint_(S)E.dS=(q)/(epsi_(0))` where q is the cahrge enclosed by the surface. If the charge is outside the surface, then cahrge enclosed by the surface is q=0 and thus, `oint_(S)E.dS=0`. Here, electric flux doesn't depend on the type or nature of charge.