Two straight wires of equal length carry the same current of

PHYSICS · Single correct · A Level · Physics · Electricity · Electricity

Problem

Two straight wires of equal length carry the same current of 3 A3\,\text{A}. Wire P is copper of diameter 1.0 mm1.0\,\text{mm} and resistivity 1.7×10−8 Ω m1.7\times10^{-8}\,\Omega\,\text{m}. Wire Q is nichrome of diameter 0.30 mm0.30\,\text{mm} and resistivity 1.1×10−6 Ω m1.1\times10^{-6}\,\Omega\,\text{m}. Ignoring heat losses, what is the nearest value to the ratio of heat produced per unit length in wire P to that in wire Q? (a) 1:1001:100 (b) 10:110:1 (c) 1:7001:700 (d) 1:101:10

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