(A): Electric field cannot exist inside a perfect conductor.(R): For a...
(A) is true: Inside a perfect conductor, the electric field cannot exist in the steady state. This is because a perfect conductor has zero electrical resistivity, and any electric field that tries to penetrate the conductor would induce an infinite current, which is not possible in practice. Therefore, the electric field inside a perfect conductor is always zero.
(R) is true and is a correct explanation of (A): A perfect conductor is characterized by an infinite electrical conductivity (σ = ∞). For a perfect conductor, the relationship between electric field (E), current density (J), and conductivity (σ) is given by Ohm's law: J = σE.
If σ is infinite (σ = ∞), then the current density (J) must be zero (J = 0) to maintain a finite electric field (E). Since electric field (E) is related to the voltage drop (ΔV) as E = ΔV/d (where d is the distance), if electric field (E) is zero, there is no voltage drop inside the conductor.
Hence, both statements (A) and (R) are true, and (R) provides a correct explanation for why (A) is true. The correct answer is option A.