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= 854∘C ∴TK = (854+273)=1127K = 1127 K.