Describe the wien's displacement law and realghy jeans law
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Wien's displacement law states that the black-body radiation curve for different temperatures will peak at different wavelengths that are inversely proportional to the temperature. ... ×10−3 m⋅K, or to obtain wavelength in micrometers, b ≈ 2898 μm⋅K..
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- Wien's displacement law states that the black-body radiation curve for different temperatures will peak at different wavelengths that are inversely proportional to the temperature. The shift of that peak is a direct consequence of the Planck radiation law, which describes the spectral brightness of black-body radiation as a function of wavelength at any given temperature. However, it had been discovered by Wilhelm Wien several years before Max Planck developed that more general equation, and describes the entire shift of the spectrum of black-body radiation toward shorter wavelengths as temperature increases.
- Formally, Wien's displacement law states that the spectral radiance of black-body radiation per unit wavelength, peaks at the wavelength λmax given by:
- {\displaystyle \lambda _{\text{max}}={\frac {b}{T}}}{\displaystyle \lambda _{\text{max}}={\frac {b}{T}}}
- where T is the absolute temperature in kelvins. b is a constant of proportionality called Wien's displacement constant, equal to 2.897771955...×10−3 m⋅K,[1] or to obtain wavelength in micrometers, b ≈ 2898 μm⋅K. If one is considering the peak of black body emission per unit frequency or per proportional bandwidth, one must use a different proportionality constant. However, the form of the law remains the same: the peak wavelength is inversely proportional to temperature, and the peak frequency is directly proportional to temperature.
- Wien's displacement law may be referred to as "Wien's law", a term which is also used for the Wien approximation.
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