Choose the incorrect statement. (A) The electric lines of force entering a Gaussian surface provide negative flux. (B) A charge q is placed at the centre of a cube; the flux through all the faces will be the same. (C) In a uniform electric field, the net flux through a closed Gaussian surface conta…

Question

Choose the incorrect statement. (A) The electric lines of force entering a Gaussian surface provide negative flux. (B) A charge q is placed at the centre of a cube; the flux through all the faces will be the same. (C) In a uniform electric field, the net flux through a closed Gaussian surface containing no net charge is zero. (D) When the electric field is parallel to a Gaussian surface, it provides a finite non-zero flux. Choose the most appropriate answer from the options given below.

Accepted Answer

(4) (D) only. (A) is correct: flux is ∫⃗E· d⃗A with d⃗A outward, so field lines entering the surface give a negative contribution. (B) is correct: the centre of a cube is symmetric with respect to all six faces, so each receives one sixth of q/(ε₀). (C) is correct: Gauss's law depends only on the enclosed charge, and in a uniform field whatever enters one side leaves the other. (D) is incorrect: if ⃗E is parallel to the surface then ⃗E⊥ d⃗A, so ⃗E· d⃗A=0 and the flux is zero, not finite. The incorrect statement is (D) only.

Step-by-step solution

Why the other options are wrong