[See Solution] The function graphed in Figure 1 represents the intensity r of a black body at a certain temperature as a function of wavelength λ.


Question: The function graphed in Figure 1 represents the intensity \(r\) of a black body at a certain temperature as a function of wavelength \(\lambda\). The intensity of the radiation is highest in the infrared range, that is, at wavelengths longer than that of visible light \((0.4-0.7\) \(\mu \mathrm{m}\) ). Max Planck's radiation law states that

\[r(\lambda)=\frac{a}{\lambda^{5}\left(e^{b / \lambda}-1\right)}\]

where \(a\) and \(b\) are empirical constants chosen to best fit the experimental data. Find \(a\) and \(b\) so that the formula fits the graph.

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