See attached file for full problem description.
1. The distribution of energy density for black body or cavity radiation as a function of frequency in a neighborhood of df about f is given by:
Integrate this function between 0 and infinity to find the total energy density.
2. In an experiment to study the photoelectric effect, booms of photons of various wavelengths are incident on a very clean metallic surface in a vacuum.
a) Derive a symbolic formula which gives the energy of the photons as a function of wavelength.
b) Calculate the constant in this formula and calculate the energy of the photons in eV for the wavelengths 800nm, 625nm, and 500 nm
It finds the total energy density of black body by integration. It also finds the energy of the photons in the photoelectric effect. The solution is detailed and was rated '5/5' by the student who originally posted the questions.