The maximum wavelength of radiation emitted b | vedclass

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

Question

(C) Given,maximum wavelength,$\lambda_m = 289.8 \ nm = 289.8 	imes 10^{-9} \ m = 2.898 	imes 10^{-7} \ m$.Stefan's constant,$\sigma = 5.67 	imes 10

Vedclass · Accepted Answer

$5.67 	imes 10^8 \ W \ m^{-2}$

Vedclass · Answer

(C) Given,maximum wavelength,$\lambda_m = 289.8 \ nm = 289.8 	imes 10^{-9} \ m = 2.898 	imes 10^{-7} \ m$.Stefan's constant,$\sigma = 5.67 	imes 10^{-8} \ W \ m^{-2} \ K^{-4}$.Wien's constant,$b = 2898 \ \mu m \ K = 2898 	imes 10^{-6} \ m \ K$.According to Wien's displacement law,$\lambda_m = \frac{b}{T}$,so $T = \frac{b}{\lambda_m}$.Substituting the values,$T = \frac{2898 	imes 10^{-6}}{289.8 	imes 10^{-9}} = \frac{2898 	imes 10^{-6}}{2.898 	imes 10^{-7}} = 10^4 \ K$.According to Stefan-Boltzmann law,the intensity of radiation $I$ is given by $I = \sigma T^4$ (assuming the star acts as a black body,$e=1$).Substituting the values,$I = (5.67 	imes 10^{-8}) 	imes (10^4)^4 = 5.67 	imes 10^{-8} 	imes 10^{16} = 5.67 	imes 10^8 \ W \ m^{-2}$.

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

Similar Questions

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

If a black wire of platinum is heated, its colour first appears red, then yellow, and finally white. This can be understood on the basis of:

The wavelength of radiation emitted by a body depends upon

Which graph represents the $v_m - T$ relationship for a black body,where $v_m$ is the frequency corresponding to the maximum energy emission and $T$ is the absolute temperature?

The wavelength of maximum emitted energy of a body at $700 \ K$ is $4.08 \ \mu m$. If the temperature of the body is raised to $1400 \ K$,the wavelength of maximum emitted energy will be ........ $\mu m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module