explain why Rayaleigh-Jeans law is a special case of planks law
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The Rayleigh-Jeans law is a special case of Planck's law for small v and can be used instead of Planck's law when radiation at sufficiently long wavelengths is being considered and when high accuracy of calculation is not required.
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Explanation:
- The Rayleigh-Jeans law presupposed continuous energy. It implied that a black body would radiate an unlimited amount of energy. An ultraviolet catastrophe resulted from this. As opposed to what the Rayleigh jeans Law predicted, Planck found that energy is quantized.
- The Rayleigh-Jeans catastrophe, often known as the ultraviolet catastrophe, was a prediction made by classical physics in the late 19th and early 20th centuries that an ideal black body in thermal equilibrium would emit a limitless amount of energy as wavelength dipped into the ultraviolet range.
- The Rayleigh-Jeans law's exclusion: At long wavelengths (low frequencies), the Rayleigh-Jeans rule accords with the experiment but significantly differs at short wavelengths (high frequencies).
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