(B) According to Wien's displacement law,$\lambda_{m} T = \text{constant}$,which implies $\lambda_{m1} T_1 = \lambda_{m2} T_2$.Given:$T_1 = 200^{\circ

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) According to Wien's displacement law,$\lambda_{m} T = \text{constant}$,which implies $\lambda_{m1} T_1 = \lambda_{m2} T_2$.Given:$T_1 = 200^{\circ}C = 200 + 273 = 473\,K$$\lambda_{m1} = 400\,\mathring{A}$$\lambda_{m2} = 200\,\mathring{A}$Using the relation $\frac{\lambda_{m2}}{\lambda_{m1}} = \frac{T_1}{T_2}$:$\frac{200}{400} = \frac{473}{T_2}$$\frac{1}{2} = \frac{473}{T_2} \Rightarrow T_2 = 473 \times 2 = 946\,K$.To convert the temperature to $^{\circ}C$:$T_2(^{\circ}C) = 946 - 273 = 673^{\circ}C$.

Class 11 Physics 2 Thermal Properties of Matter: Heat Transfer Spectral Emissive Power and Wien's Displacement Law

Difficult

The temperature of a furnace is $200\,^{\circ}C$. In its spectrum,the maximum intensity is obtained at about $400\,\mathring{A}$. If the maximum intensity is at $200\,\mathring{A}$,calculate the temperature of the furnace in $^{\circ}C$. ......... $^{\circ}C$

A
$400$
B
$673$
C
$946$
D
None of these

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

2 Thermal Properties of Matter: Heat Transfer

Subtopic

Spectral Emissive Power and Wien's Displacement Law

The variation of radiant energy emitted by the Sun, the filament of a tungsten lamp, and a welding arc as a function of its wavelength is shown in the figure. Which of the following options is the correct match?

MediumIIT 2005

View Solution

The wavelength of maximum emission of radiation from a body at $2000 \ K$ is $4 \ \mu m$. What is the wavelength of maximum emission of radiation from the body at $2400 \ K$ in $\mu m$?

Difficult

View Solution

State and explain Wien's displacement law.

Difficult

View Solution

The wavelength of maximum intensity of radiation emitted by a star is $289.8 \, nm$. The radiation intensity for the star is: (Stefan's constant $\sigma = 5.67 \times 10^{-8} \, W m^{-2} K^{-4}$,Wien's constant $b = 2898 \, \mu m \cdot K$)

Medium

View Solution

The colour of a shining bright star is an indication of its

EasyAIIMS 2001

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The temperature of a furnace is $200\,^{\circ}C$. In its spectrum,the maximum intensity is obtained at about $400\,\mathring{A}$. If the maximum intensity is at $200\,\mathring{A}$,calculate the temperature of the furnace in $^{\circ}C$. ......... $^{\circ}C$

Similar Questions

The variation of radiant energy emitted by the Sun, the filament of a tungsten lamp, and a welding arc as a function of its wavelength is shown in the figure. Which of the following options is the correct match?

The wavelength of maximum emission of radiation from a body at $2000 \ K$ is $4 \ \mu m$. What is the wavelength of maximum emission of radiation from the body at $2400 \ K$ in $\mu m$?

State and explain Wien's displacement law.

The wavelength of maximum intensity of radiation emitted by a star is $289.8 \, nm$. The radiation intensity for the star is: (Stefan's constant $\sigma = 5.67 \times 10^{-8} \, W m^{-2} K^{-4}$,Wien's constant $b = 2898 \, \mu m \cdot K$)

The colour of a shining bright star is an indication of its

Vedclass Test Series

Exam Paper Generator

Online Exam Module