Question

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 absolute temperature $(T)$
• D. ${\lambda }_{\max }$ is inversely proportional to square of absolute temperature $(T^2)$ ( ${\lambda }_{\max }$ = wavelength whose energy density is greatest)

Answer 1

Answer: (C)

Wien's displacement law ${\lambda }_{\max }\cdot T=b$
where $b=$ Wien's constant
$\therefore {\lambda }_{\max }\propto \frac{1}{T}$ Thus, ${\lambda }_{\max }$
is inversely proportional to absolute temperature $(T)$.