Joint Entrance Examination/AIEEE 2009/Q072 RESISTANCE VS TEMPERATURE

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Original Question by 164.100.170.4 Here's the question... Q74. Statement 1: The temperature dependence of resistance is usually given as R = R0(1 + αΔt). The resistance of a wire changes from 100 Ω to 150 Ω when its temperature is increased from 27°C to 227°C. This implies that α = 2.5 × 10–3/°C. Statement 2: R = R0(1 + αΔt) is valid only when the change in the temperature ΔT is small and ΔR = (R – R0) < < R0. (1) Statement 1 is true, statement 2 is true; Statement 2 is the correct explanation of Statement 1 (2) Statement 1 is true, Statement 2 is true; Statement 2 is not the correct explanation of Statement 1 (3) Statement 1 is false, Statement 2 is true (4) Statement 1 is true, Statement 2 is false Posted by 164.100.170.4 05:18, 24 September 2009 (UTC) Post a reply![1]

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Reply to the thread, posted by 164.100.170.4 Thread post Additional notes SOLUTION: [3] As relation R = R0/(1 + αΔt) is valid only when ΔR < < R0.Here ΔR=150-100=50.R0=100.100 and 50 are comparable. Hence statement 1 is false and statement 2 is true. These comments, along with the notes on the left, were contributed by 164.100.170.4 05:25, 24 September 2009 (UTC)

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