If the flux of the electric field through a closed surface is zero.

(A) The electric field must be zero everywhere on the surface.
(B) The electric field may be zero everywhere on the surface.
(C) The charge inside the surface must be zero.
(D) The charge in the vicinity of its surface must be zero.
(E) The charge inside the surface may be zero.

Choose the correct answer from the options given below:

(B), (C) only

The correct answer is Option (2) → (B), (C) only