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
b) Find the wavelength at which the energy density is a maximum as a function of
c) Find the frequencya t which the photond ensityi s a maximuma sa functiono f
See attached file for full problem description.
Energy per unit volume per unit frequency of a blackbody radiation is
S = 2π(kT)^3/(c^2h^2) * x^3/(e^x-1), (1)
where x = hf/(kT)
As the energy of a photon is hf, the number of photons per unit volume per unit frequency is
N = S/(hf) = 2π(kT)^2/(c^2h^2) * x^2/(e^x-1) (2)
Its maximum is when dN/dx = 0. Differentiating equation (2) we obtain the ...
This solution answers questions addressing frequency, wavelength and energy density