(a) Verify that at high frequencies Wien's law is a good approximation to Planck's blackbody equation.
(b) In June 1900 Rayleigh applied the equipartition theorem of classical statistical mechanics to derive an equation for blackbody radiation that showed the radiation intensity to be proportional to v2T. In 1905, Jeans pointed out an error in Rayleigh's derivation of the proportionality constant and corrected the Rayleigh formula to I = 2πv2kT/c2. Show that at low frequencies, Planck's blackbody formula can be approximated by the Rayleigh-Jeans formula