One approach to arrive at a formula for Blackbody radiation spectrum is to consider the electromagnetic waves inside a blackbody cavity at a temperature Ta thermodynamic system and calculate the average energy . Energy density per unit frequency is then given by, [(16 = n( V), where n( V) = Sn'l/h/c3 is the number density of waves. The probability of having energy between E and E + dE is given by 13(5) = exp (-E/kni'kT, where k is the Boltzmann constant. (a) Assuming the energy of radiation to be continuously variable show that = kT, and obtain the Rayleigh-Jeans radiation formula. (b) Assuming the energy of radiation to be quantized Show that = h v/ [exp 01 W76?) 1], and obtain the Planck Radiation formula