1. consider the modes of electromagnetic radiation in a cubic resonator 1cm on a side. How many modes have a wavelength
a) greater than 1000 nm
b) greater than 100 nm
2) a The cosmic background radiation has a temperature of 2.725 °K. At what wavelength is this radiation most intense?
b If the most intense radiation of a blackbody occurs at 1000 nm, what is its temperature?
3. Consider the photoelectric effect. The work function φ for copper is 4.70 eV.
a What is the maximum wavelength of light that will eject an electron from copper?
b If light with a wavelength of 200 nm shines on the copper, what is the maximum energy of an electron ejected from the metal?
4a. Use the exact relativistic expression for E, the energy of a particle, to show that when v << c, the kinetic energy of the particle is approximately KE » p2/(2m0)
b Compute the wave length of an electron when KE = 25 milli electron volts
c Compute the wave length of an electron when KE = 1 mega electron volts
5. Consider the energies of an electron in a one-dimensional infinite well derived in class. Compute the lowest three allowed energy levels for a well 5nm wide.