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(B) Assertion $A$ is true: According to Gauss's law,the electric field inside a conductor in electrostatic equilibrium is zero,which implies that the

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Both $A$ and $R$ are true but $R$ is $NOT$ the correct explanation of $A$.

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(B) Assertion $A$ is true: According to Gauss's law,the electric field inside a conductor in electrostatic equilibrium is zero,which implies that the net charge density inside the conductor is zero.Reason $R$ is also true: If a free charge carrier is placed between the plates of a capacitor (in a vacuum or air),it experiences an electric force $F = qE$ and undergoes drift.However,the reason for the absence of net charge inside a conductor is the redistribution of charges on the surface to cancel the internal field,which is independent of the behavior of charges between capacitor plates. Therefore,$R$ is not the correct explanation of $A$.

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