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Question

Question: The temperature co-efficient of resistance of a wire is 0.00125*/*<sup>0</sup>*C*. At 300 *K*. It’s ...

The temperature co-efficient of resistance of a wire is 0.00125*/*0C. At 300 K. It’s resistance is 1Ω. The resistance of the wire will be 2Ω at

A

1154 K

B

1127 K

C

600 K

D

1400 K

Answer

1127 K

Explanation

Solution

By using Rt = Ro (1 + αt) ⇒ R1R2=1+αt11+αt2\frac{R_{1}}{R_{2}} = \frac{1 + \alpha t_{1}}{1 + \alpha t_{2}}

So 12=1+(300273)α1+αt2\frac{1}{2} = \frac{1 + (300 - 273)\alpha}{1 + \alpha t_{2}}t2 = 854oC = 1127 K