For a given surface the Gauss's law is stated as E ds = 0. From t… - Vidyadip

MCQ

For a given surface the Gauss's law is stated as $\oint {E \cdot ds} = 0$. From this we can conclude that

A
$E$ is necessarily zero on the surface
B
$E$ is perpendicular to the surface at every point
✓
The total flux through the surface is zero
D
The flux is only going out of the surface

✓

Answer

Correct option: C.

The total flux through the surface is zero

c
(c) The Gauss's law states that the total electric flux coming out from a volume of charges is equal to the charge enclosed times the permittivity of the medium inside the surface.

So if $\int E . d s=0$, it implies that net flux through the surface is zero i.e. there is no charge enclosing that surface.

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