Discuss te below:
Derivations Involving Planck's Law of Blackbody Radiation
Planck's formula for spectral distribution of the flux emitted by a blackbody is:
S_v = [(2*pi*h)/(c^2)][(v^3)/((e^hv/kT)-1)]
a) from this formula deduce that the totl flux is proportional to the fourth power of the temperture, that is: integral from 0 to infinity S_v dv (proportionality symbol) T^4 and deduce that the max in the spectral distribution occurs at a frequency proportional to the temperature, that is: v_max (proportionality symbol) T