Question: Using the basic physical constants, show that (C_{1}=3.742 times 10^{8} mathrm{~W} mu mathrm{m}^{4} / mathrm{m}^{2}) and (C_{2}=) (1.4389 times 10^{4} mu mathrm{m} / mathrm{K}) in

Using the basic physical constants, show that \(C_{1}=3.742 \times 10^{8} \mathrm{~W} \mu \mathrm{m}^{4} / \mathrm{m}^{2}\) and \(C_{2}=\) \(1.4389 \times 10^{4} \mu \mathrm{m} / \mathrm{K}\) in the Planck model.

Take the derivative of the Planck equation with temperature. Set this equal to zero, and verify Wien's displacement law.

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