Q. Wien’s displacement law for emission of radiation can be written as
A) $\lambda_{\max}$ is proportional to absolute temperature($T$)
B) $\lambda_{\max}$ is proportional to square of absolute temperature($T^{2}$)
C) $\lambda_{\max}$ is inversely proportional to square of absolute temperature($T$)
D) $\lambda_{\max}$ is inversely proportional to square of absolute temperature($T^{2}$)
${(\lambda}_{\max}$=wavelength whose energy density is greatest)
Explanation
(c) Wien’s displacement law
$\lambda_{\max}.T = b$ where $b$=Wien’s constant
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda_{\max} \propto \frac{1}{T}\ $
Thus, $\lambda_{\max}$ is inversely proportional to absolute temperature (T ).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.