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
Guss's law is based on the inverse square dependence on distance contained in the coulomb's law

Correct answer: Gauss's law is not much useful in calculating electrostatic field when the system has some symmetry

Solution

Gauss’s law is very useful for calculating electric fields in highly symmetric situations, such as spherical, cylindrical, or planar symmetry. So the statement saying it is “not much useful” when the system has symmetry is false.

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