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  • The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at i

The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at \mathrm{300 K} is \mathrm{1 \: \: ohm}. At what temperature its resistance will be \mathrm{2 \: \: ohm}?

Option: 1

1154\: \mathrm{K}


Option: 2

1127\: \mathrm{K}


Option: 3

600\: \mathrm{K}


Option: 4

1400\: \mathrm{K}


Answers (1)

best_answer

Temperature, \mathrm{t}=300 \mathrm{~K}=27^{\circ} \mathrm{C}

\mathrm{ R_{27}=1=R_0(1+0.00125 \times 27) }

\mathrm{ R_t=2=R_0(1+0.00125 \times t) }

\begin{aligned} & \therefore \quad \frac{2}{1}=\frac{1+0.00125 \times t}{1+0.00125 \times 27} \end{aligned}

On solving, \mathrm{t}=854^{\circ} \mathrm{C}=854+273=1127 \mathrm{~K}

Hence option 2 is correct

Posted by

vinayak

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