3. Dimensional analysis can provide insight into Stefan-Boltzmann's law forthe radiation from a black body. According to this law the intensity ofradiation, in units of J s-' m-², from a body at temperature Tis1 = GT*,where e is Stefan-Boltzmann's constant. Because black-body radiationcan be considered to be a gas of photons, i.e. quantum particles whichmove with velocity e with typical energies of the order of kT, the intensityI is a function of h, c and kT. Use dimensional analysis to confirm that Iisproportional to 7 and find the dependence of a on h and c.

Given unit of Intensity = [Js- m-2] Therefore dimensions Intensity = [ ML2T-2] [T-1] [L-2]…

Answered: 3. Dimensional analysis can provide…

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