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SOLVED:(a) Show that the Rayleigh-Jeans law (Eq. 20 ) is an approximation of the Planck function Bλ in the limit of λ≫h c / k T . (The first-order expansion e^x ≈1 x for x ≪1 will be useful.) Notice that Planck's constant is not present in your answer. The Rayleigh-Jeans law is a classical result, so the "ultraviolet catastrophe" at short wavelengths, produced by the λ^4 in the denominator, cannot be avoided. The Continuous Spectrum of Light: Problem Set Bλ(T) ≃(2 c k T)/(λ^4), ( valid only if
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