If the flux of the electric field is zero.

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The electric field must be zero everywhere on the surface.

The electric field may be zero everywhere on the surface.

The charge inside the surface must be zero.

The charge in the vicinity of the surface must be zero.

answer is B, C.

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Detailed Solution

$ϕ = E A \cos θ = \frac{q_{i n}}{ε_{0}}$ , and so electric field may be either zero at each point of the surface or $θ = 90 °$ . Also if $q_{i n} = 0$ , $ϕ$ must be zero.

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