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Which of the following statement$(s)$ is/are correct?
$(A)$ If the electric field due to a point charge varies as $r^{-25}$ instead of $r^{-2}$, then the Gauss law will still be valid.
$(B)$ The Gauss law can be used to calculate the field distribution around an electric dipole.
$(C)$ If the electric field between two point charges is zero somewhere, then the sign of the two charges is the same.
$(D)$ The work done by the external force in moving a unit positive charge from point $A$ at potential $V_A$ to point $B$ at potential $V_B$ is $\left(V_B-V_A\right)$.
$(B,D)$
$(C,D)$
$(A,D)$
$(B,D)$
Solution
Correct Answer – $C::D$
$(a)$ is not correct because it is valid only when $E \propto r^{-2}$
$(b)$ is not correct
$(c)$ is correct as between two point charges we will get a point where the electric field due to the two point charges cancel out each other.
$(d)$ is correct when the work done is without accelerating the charge.