Assuming the spectral distribution of thermal radiation energy to obey Wien'* formula u (ω, T) = A ω3 exp (—aω/T), where a = 7.64 ps•K, find for a temperature T = 2000 K the most probable
(a) radiation frequency; (b) radiation wavelength.
We are given
(b) We determine the spectral distribution in wavelength.
(we have put a minus sign before dλ to subsume just this fact dλ is -ve where dω is +ve.)