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