The ratio of the resistance of a conductor at a temperature of 15 ° C to its resistance at a temperature of 37.5 ° C is 4 : 5 . The temperature coefficient of resistance of the conductor is

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R T = R 0 1 + αT R 15 R 37 .5 = R 0 1 + α × 15 R 0 1 + α × 37 .5 ∴ 4 5 = 1 + α × 15 1 + α × 37 .5 4 1 + α × 37 .5 = 5 1 + α × 15 4 + α × 150 = 5 + α × 75 By solving this we get, α = 1 75 ° C - 1

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