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1. a) In lecture we derived a distribution, uf(f)df, for the energy density in cavity radiation as a flurction of frequency. If hf is the energy of a photon, modify this distribution to find a distribution nfdf of photon density as a function of frequency for this system.

b) Find the frequency for which this new distribution in (a) has a maximum, fpeak, and show that fpeak/T is a constant.

2. The sun radiates approximately as a black body or a cavity radiator at 5800 K.

a) Find the frequency at which the energy density is maximum as a function of frequency,

b) Find the wavelength at which the energy density is a maximum as a function of wavelength.

c) Find the frequency at which the photon density is a maximum as a function of frequency

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