Which of the following statements is not true about Gauss’s law?

Question

Which of the following statements is not true about Gauss’s law? (A) Gauss’s law is true for any closed surface (B) The term q on the right side of Gauss’s law includes the sum of all charges enclosed by the surface (C) Gauss’s law is not much useful in calculating electrostatic field when the system has some symmetry (D) Gauss’s law is based on the inverse square dependence on distance contained in the coulomb’s law

Tardigrade Admin · Accepted Answer

Gauss’s law is often useful towards a much easier calculation of electrostatic field when the system has some symmetry. This is facilitated by the choice of a suitable Gaussian surface.

Q. Which of the following statements is not true about Gauss’s law?

Gauss’s law is true for any closed surface

The term $q$ on the right side of Gauss’s law includes the sum of all charges enclosed by the surface

Gauss’s law is not much useful in calculating electrostatic field when the system has some symmetry

Gauss’s law is based on the inverse square dependence on distance contained in the coulomb’s law

Gauss’s law is often useful towards a much easier calculation of electrostatic field when the system has some symmetry. This is facilitated by the choice of a suitable Gaussian surface.