Question

The temperature coefficient of resistance of wire is $12.5\times {10}^{-4}{/}^{\circ }C$. At $300K$ the resistance of the wire is $1ohm$. The temperature at which resistance will be $2ohm$ is :

• A. $1154K$
• B. $1100K$
• C. $1400K$
• D. $1127K$

Answer 1

The correct option is C $1400K$

$\frac{R_{T1}}{1+\alpha T_1}=\frac{R_{T2}}{1+\alpha T_2}$
$1+\alpha T_2=2+2\alpha T_1$
$T_2=1400K$