A certain material is in a room at 27°C.If the absolute temperature (K)of the material is doubled,its resistance triples.(Water freezes at 273 K. )What is the value for α,the temperature coefficient of resistivity? A) 0.074 (°C)−¹ B) 0.01 (°C)−¹ C) 0.0067 (°C)−¹ D) 1.5 (°C)−¹ E) 0.037 (°C)−¹

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Quizplus · Accepted Answer

The resistance R is related to temperature T by R = R₀(1 + α(T - T₀)). Doubling the absolute temperature from 300 K to 600 K triples the resistance, so 3R₀ = R₀(1 + α(600 K - 300 K)). Solving for α gives α = 0.0067 (°C)−¹.

A Certain Material Is in a Room at 27°C