Q.
Which of the following statement(s) is/are correct
A) If the electric field due to a point charge varies as $r^{- 2.5}$ 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 $V_{A}$ is $(V_{B} - V_{A})$
Explanation
(c) $\phi = \int_{}^{}{Eds = \frac{Kq}{r^{2}}4\pi r^{2} = \frac{q}{\varepsilon_{0}}}$
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$W_{ext} = q(V_{B} - V_{A})$
Comment : (d) is not correct answer because it is not given that charge is moving slowly
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.