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• It is often easier to characterize radiation by its frequency rather than its wavelength. The Planck formula (4.28) is then written in terms of a function I(f, T) defined so that I(f, T) df is the intensity in the frequency interval from f to f + df. (a) Show that I(f, T) = I(λ, T)|dλ/df|. (The absolute value signs are needed to keep both distribution functions positive.) (b) Write down the Planck distribution function in terms of frequency f, and sketch its behavior at a fixed temperature T for 0 < f < ∞.
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