Which of the following statements is correct?

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(D) $1$. Option $A$ is incorrect because Gauss's law is a direct consequence of the inverse square law $(1/r^2)$. If the field varied as $1/r^n$ where

Vedclass · Accepted Answer

The work done by an external force in moving a unit positive charge from a point $A$ at potential $V_A$ to a point $B$ at potential $V_B$ is $(V_B - V_A)$.

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(D) $1$. Option $A$ is incorrect because Gauss's law is a direct consequence of the inverse square law $(1/r^2)$. If the field varied as $1/r^n$ where $n 
eq 2$,the flux would depend on the shape of the surface,not just the enclosed charge.$2$. Option $B$ is incorrect because while Gauss's law is always true,it is only useful for calculating field distributions when there is high symmetry (like spherical,cylindrical,or planar symmetry). $A$ dipole lacks such symmetry.$3$. Option $C$ is incorrect because 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 had opposite signs,the field would be zero outside the region between them.$4$. Option $D$ is correct. 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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