Question

The temperature coefficient of resistance ot a wire is $0.00125 \, per \, ^\circ C$. At 300 K temperature its resistance is $1?$. The resistance of the wire will be $2?$ at

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

Answer 1

Answer: (D)

1127 K

Answer 2

$\frac {R_1}{R_2}=\frac {1+\alpha t_1}{1+\alpha t_2}$ $\Rightarrow$ \hspace30mm $\frac {1}{2}=\frac {(1+0.00125 \times 27)}{(1+0.00125 \times t)}$ $\Rightarrow$ \hspace30mm $t={854}^\circ C$ $\Rightarrow$ \hspace30mm T=1127K