This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements. 

Statement-1: The temperature dependence of resistance is usually given as R = R0(1 + αΔt). The resistance of a wire changes from 100Ω to 150Ω when its temperature is increased from 27°C to 227°C. This implies that a = 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

(a) Statement-1 is true, Statement-2 is false 

(b) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1. 

(c) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1. 

(d) Statement-1 is false, Statement-2 is true


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(a) : From the statement given, a = 2.5 × 10–3/°C. The resistance of a wire change from 100Ω to 150Ω when the temperature is increased from 27°C to 227°C.
It is true that a is small. But (150 – 100)Ω or 50Ω is not very much less than 100Ω i.e., R – R0 << Ris not true.

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