The temperature coefficient of the resistance of a wire is 0.00125 per ° C . At 300 K its resistance is 1 Ω. The resistance of wire will be 2 Ω, at

Question

The temperature coefficient of the resistance of a wire is 0.00125 per ° C . At 300 K its resistance is 1 Ω. The resistance of wire will be 2 Ω, at (A) 1154 K (B) 1100 K (C) 1400 K (D) 1127 K

Tardigrade Admin · Accepted Answer

None of the four options are correct. through option is close to correct answer. Rt=R0(1+α t) 1=R0(1+0.00125 × 27) ...(i) 2=R0(1+0.00125 × t) ...(ii) From Eqs. (i) and (ii) t=848° C =1127 K

Q. The temperature coefficient of the resistance of a wire is $0.00125 p e r^{\circ} C$ . At $300 K$ its resistance is $1 Ω$ . The resistance of wire will be $2 Ω$ , at

1154 K

1100 K

1400 K

1127 K

None of the four options are correct.
through option is close to correct answer.
$R_{t} = R_{0} (1 + α t)$
$1 = R_{0} (1 + 0.00125 \times 27)$ ...(i)
$2 = R_{0} (1 + 0.00125 \times t)$ ...(ii)
From Eqs. (i) and (ii)
$t = 84 8^{\circ} C = 1127 K$

Q. The temperature coefficient of the resistance of a wire is 0.00125per∘C . At 300K its resistance is 1Ω. The resistance of wire will be 2Ω, at