Wien's Displacement Law Derivation Pdf 14 [NEW]
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Wien's law: The peak wavelength of a blackbody which emits radiation at a certain temperature is inversely proportional to the temperature. For the radiation spectrum of a perfect blackbody, the peak wavelength is the wavelength corresponding to the maximum intensity of radiation at that temperature. This wavelength is known as the Wien wavelength.
From a mathematical point of view, Wien's law states that the spectral radiance for a blackbody at a given temperature is a function only of wavelength and not of frequency. For a monochromatic light source, namely for a light source that emits light of a single, well-defined frequency, the spectral radiance is constant for all wavelengths, which means that the luminosity emitted by that black body is proportional to the frequency. For a blackbody that emits radiation over a range of wavelengths, the spectral radiance is not constant for all wavelengths, and is a function of wavelength.
The Wien displacement law is not the full explanation for the relationship between the peak wavelength and temperature. In fact, all blackbodies emit equally at all frequencies. To fully explain the peak shift, and the explanation for the Wien law, I will explain:
The Planck Law
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