The wavelength of maximum intensity of radiat | vedclass

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

Question

(A) According to Wien's displacement law,$\lambda_{\max} T = b$.Given $\lambda_{\max} = 289.8 \, nm = 289.8 	imes 10^{-9} \, m$ and $b = 2898 \, \mu

Vedclass · Accepted Answer

$5.67 	imes 10^8 \, W/m^2$

Vedclass · Answer

(A) According to Wien's displacement law,$\lambda_{\max} T = b$.Given $\lambda_{\max} = 289.8 \, nm = 289.8 	imes 10^{-9} \, m$ and $b = 2898 \, \mu m \cdot K = 2898 	imes 10^{-6} \, m \cdot K$.Calculating the temperature $T$:$T = \frac{b}{\lambda_{\max}} = \frac{2898 	imes 10^{-6}}{289.8 	imes 10^{-9}} = 10 	imes 10^3 = 10^4 \, K$.According to Stefan-Boltzmann Law,the radiation intensity (emissive power) $E$ is given by $E = \sigma T^4$.Substituting the values:$E = (5.67 	imes 10^{-8}) 	imes (10^4)^4 = 5.67 	imes 10^{-8} 	imes 10^{16} = 5.67 	imes 10^8 \, W/m^2$.

The 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 $b = 2898 \, \mu m \cdot K$)

Similar Questions

$A$ piece of iron is heated in a flame. It first becomes dull red, then becomes reddish yellow, and finally turns to white hot. The correct explanation for the above observation is possible by using

Two stars $A$ and $B$ radiate maximum energy at the wavelengths of $360 \ nm$ and $480 \ nm$ respectively. Then the ratio of the surface temperatures of $A$ and $B$ is

What will be the ratio of temperatures of the sun and the moon if the wavelengths corresponding to their maximum emission radiation rates are $140 \mathring{A}$ and $4200 \mathring{A}$ respectively?

The wavelength of maximum energy,released during an atomic explosion,was $2.93 \times 10^{-10} \ m$. Given that the Wien's constant is $2.93 \times 10^{-3} \ m \ K$,the maximum temperature attained must be of the order of

Two stars appear red and blue. Which of the following is true for both?

Vedclass Test Series

Exam Paper Generator

Online Exam Module