According to Wien's Law, the wavelength${\mathit{\lambda }}_{\mathbf{m}\mathbf{a}\mathbf{x}}$ of maximum thermal emission of electromagnetic energy from a body of temperature Tobeys

localid="1660036169367" ${\mathit{\lambda }}_{\mathbf{m}\mathbf{a}\mathbf{x}}\mathit{T}\mathbf{=}\mathbf{2}\mathbf{.}\mathbf{898}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}\mathbf{\text{m}}\mathbf{·}\mathbf{\text{K}}$

Show that this law follows from the spectral energy density obtained in Exercise 13. Obtain an expression that, when solved, would yield the wavelength at which this function is maximum. The transcendental equation cannot be solved exactly, so it is enough to show thatlocalid="1660036173306" $\mathit{\lambda }\mathbf{=}\mathbf{2}\mathbf{.}\mathbf{898}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}\mathbf{\text{m}}\mathbf{·}\raisebox{1ex}{$\mathbf{K}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{T}$}\right.$solves it to a reasonable degree of precision.

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