A cable is constructed by soldering together four identical aluminum wires in parallel

PHYSICS · Single correct · CBSE · Physics · Electricity · Electricity

Problem

A cable is constructed by soldering together four identical aluminum wires in parallel. Initially, each wire has length LL and radius rr, and the resistance of any one of the wires is R0R_0. The cable is then uniformly stretched so that its length becomes 1.5L1.5L and the radius of each individual wire becomes 0.80r0.80r. What is the resistance of the stretched cable expressed in terms of R0R_0? (a) 0.47R00.47R_0 (b) 2.3R02.3R_0 (c) 0.56R00.56R_0 (d) 0.59R00.59R_0

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