90.

The value also of the maximum of $E_{\lambda }$ is found from [eqn:(107)] (107) by putting $\lambda ={\lambda }_m$. Allowing for [eqn:(109)] (109) we obtain $E_{\mathit{\text{max}}}=\text{const}.T^5,\mathrm{\backslash Label}[eqn](111)\text{upshape (111)}$ i.e., the value of the maximum of radiation in the spectrum of the black radiation is proportional to the fifth power of the absolute temperature.

Should we measure the intensity of monochromatic radiation not by $E_{\lambda }$ but by ${𝖪}_{\nu }$, we would obtain for the value of the radiation maximum a quite different law, namely, ${𝖪}_{max}=\text{const}.T^3.\mathrm{\backslash Label}[eqn](112)\text{upshape (112)}$

[Spectral Distribution of Energy] IVRadiation of Any Arbitrary Spectral Distribution of Energy. Entropy and Temperature of Monochromatic Radiation