Question

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

• A. $\oint_{}^{}{s\overrightarrow{E}.d\overrightarrow{s} \neq 0}$ on any surface
• B. if the charge is outside the surface
• C. $\frac{q}{\varepsilon_{0}}$ if charges of magnitude q were inside the surface
• D. Both (2) and (3) are correct

Answer 1

Answer: (D)

Both (2) and (3) are correct

Answer 2

: According to Gauss’s theorem in electrostatics

$\oint_{}^{}{\overrightarrow{E}.d\overrightarrow{s} = \frac{q}{\varepsilon_{0}}}$

Here q is charge enclosed by the surface.

If the charge is outside the surface, therefore $q_{inside} = 0$

Also , $\oint_{}^{}{\overrightarrow{E}.d\overrightarrow{s} = 0}$

So both (2) and (3) are correct.