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Question

The temperature coefficient of resistance of a wire is 0.00125 per C. At 300K its resistance is 1Ω. The resistance of wire will be 2Ω at

A
1154K
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B
1100K
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C
1400K
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D
1127K
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Solution

The correct option is D 1127K
Resistance of wire varies with temperature as R =R0(1+αTc) where α is temperature coefficient of resistance
R27RTc=R0(1+27α)R0(1+αTc)=12 Tc= 1+54αα= 1+54×0.001250.00125= 854C
TK = (854+273)=1127K = 1127 K.

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