Explanation Introduction: Resistance of wire is given as R = ρ L A Here, ρ is the resistivity, L is the length of the wire and A is area of cross section of wire. Since masses of both the wires are equal and both of them have same density, therefore volumes of both wires must be equal. Because volumes of both wires are equal,therefore area of cross section of wire B must be twice the area of cross section of wire A. Since volume of a cylindrical body is given as V = π D 2 4 L It is clear that volume of cylindrical wire is directly proportional to square of cross sectional diameter. Therefore, cross sectional area of wire A will be twice the area of cross section of wire B

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Solution Summary: The author explains that the resistance of wire is given as R=rho LA, L is the length of the wire, and A is area of cross section.

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