3. Dimensional analysis can provide insight into Stefan-Boltzmann's law for the radiation from a black body. According to this law the intensity of radiation, in units of J s-' m-², from a body at temperature Tis 1 = GT*, where e is Stefan-Boltzmann's constant. Because black-body radiation can be considered to be a gas of photons, i.e. quantum particles which move with velocity e with typical energies of the order of kT, the intensity I is a function of h, c and kT. Use dimensional analysis to confirm that Iis proportional to 7 and find the dependence of a on h and c.

3. Dimensional analysis can provide insight into Stefan-Boltzmann's law for the radiation from a black body. According to this law the intensity of radiation, in units of J s-' m-², from a body at temperature Tis 1 = GT*, where e is Stefan-Boltzmann's constant. Because black-body radiation can be considered to be a gas of photons, i.e. quantum particles which move with velocity e with typical energies of the order of kT, the intensity I is a function of h, c and kT. Use dimensional analysis to confirm that Iis proportional to 7 and find the dependence of a on h and c.