The temperature coefficient of resistance for a wire is 0-00125- C -1- At 300 K- its resistance is 1 - The temperature at which the resistance becomes 1-5 -A- 454 KB- 900 KC- 450 KD- 713 K

The correct option is D 713 KRt_2/Rt_1=R_0[1+α t_2]/R_0[1+α t_1 1.5/1=1+α t_2/1+α t_2=1+α t_2/1+α 27 3/2=1+α t_2/1+27 α;3+81 α=2+2α t_2 1=α[2t_2 81] t_2=44 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Dependence of Resistance on Temperature

The temperatu...

Question

The temperature coefficient of resistance for a wire is ${0.00125}^{\circ} C^{- 1}$ . At 300 K, its resistance is $1 Ω$ . The temperature at which the resistance becomes $1.5 Ω$ .

450 K

No worries! We‘ve got your back. Try BYJU‘S free classes today!

713 K

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

454 K

No worries! We‘ve got your back. Try BYJU‘S free classes today!

900 K

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 713 K
$\frac{R t_{2}}{R t_{1}} = \frac{R_{0} [1 + α t_{2}]}{R_{0} [1 + α t_{1}} \frac{1.5}{1} = \frac{1 + α t_{2}}{1 + α t_{2}} = \frac{1 + α t_{2}}{1 + α 27} \frac{3}{2} = \frac{1 + α t_{2}}{1 + 27 α}; 3 + 81 α = 2 + 2 α t_{2} 1 = α [2 t_{2} - 81] t_{2} = {440.5}^{\circ} C T_{2} = 440.5 + 273 = 713.5 K$

Suggest Corrections

Similar questions

Q. The temperature coefficient of resistance for a wire is 0.00125

/^{\circ} C

. At 300K its resistance is 1 ohm. The temperature at which the resistance becomes 2 ohm is

Q. The temperature coefficient of resistance of a wire is 0.00125 per

^{\circ} C

. At 300K its resistance is 1

Ω

. The resistance of wire will be 2

Ω

Q. The temperature coefficient of resistance of a wire is

0.00125 /^{\circ} C

. At

300 K

its resistance is

1 ohm

. The temperature at which the resistance becomes

2 ohm

is:

Join BYJU'S Learning Program

The temperature coefficient of resistance for a wire is 0.00125∘C−1. At 300 K, its resistance is 1Ω. The temperature at which the resistance becomes 1.5Ω.

The correct option is B 713 KRt2Rt1=R0[1+αt2]R0[1+αt11.51=1+αt21+αt2=1+αt21+α2732=1+αt21+27α;3+81α=2+2αt21=α[2t2−81]t2=440.5∘CT2=440.5+273=713.5 K

The temperature coefficient of resistance for a wire is ${0.00125}^{\circ} C^{- 1}$ . At 300 K, its resistance is $1 Ω$ . The temperature at which the resistance becomes $1.5 Ω$ .