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Q.

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

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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.

answer is C.

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Detailed Solution

The ‘q’ on the RHS will include all the charges enclosed by the surface and it is true for any surface.

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.

Gauss's law is based on the inverse square dependence on distance contained in the Coulomb's law. Any violation of Gauss's law will indicate departure from the inverse square law.

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