Which of the following statement(s) is/are co | vedclass

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(B) The correct statements are $(C)$ and $(D)$.$(A)$ Gauss's law is derived from the inverse-square law $(E \propto r^{-2})$. If the field varies as $

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$(C, D)$

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(B) The correct statements are $(C)$ and $(D)$.$(A)$ Gauss's law is derived from the inverse-square law $(E \propto r^{-2})$. If the field varies as $r^{-2.5}$,the flux through a closed surface would depend on the shape and size of the surface,making the standard Gauss law invalid.$(B)$ Gauss's law is most effective when there is high symmetry (spherical,cylindrical,or planar). An electric dipole lacks the symmetry required to simplify the calculation of the electric field using Gauss's law.$(C)$ For two point charges,the electric field is zero at a point between them only if the charges have the same sign (repulsive force). If they have opposite signs,the field is zero outside the region between them.$(D)$ By definition,the potential difference $V_B - V_A$ is the work done by an external agent in moving a unit positive charge from $A$ to $B$ without acceleration.

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