Question
Using the Planck's radiation law:
and (iii) Stefan's law. (10)
Answer :
Word Count : 412
Planck’s radiation law for the spectral energy density of blackbody radiation is (u_\lambda d\lambda = \dfrac{8\pi hc}{\lambda^5}\dfrac{1}{\exp!\left(\dfrac{hc}{\lambda k_B T}\right)-1}, d\lambda). From this general expression, the classical and limiting radiation laws can be obtained by considering appropriate physical limits. For Rayleigh–Jeans law, we consider the long wavelength or low frequency limit, i.e., (\lambda) is large. In this case the quantity (\dfrac{hc}{\lambda k_B T}) is very small compared to unity. Using the series expansion of the exponential function, (\exp(x) \approx 1 + x) for _____ ___ ______ _____ _____.
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Planck’s radiation law for the spectral energy density of blackbody radiation is (u_\lambda d\lambda = \dfrac{8\pi hc}{\lambda^5}\dfrac{1}{\exp!\left(\dfrac{hc}{\lambda k_B T}\right)-1}, d\lambda). From this general expression, the classical and limiting radiation laws can be obtained by considering appropriate physical limits. For Rayleigh–Jeans law, we consider the long wavelength or low frequency limit, i.e., (\lambda) is large. In this case the quantity (\dfrac{hc}{\lambda k_B T}) is very small compared to unity. Using the series expansion of the exponential function, (\exp(x) \approx 1 + x) for _____ ___ ______ _____ _____.
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