Question

1. Derive Laws of Black Body Radiation from Wien’s Law: u_ν = ν³F(ν/T)
   1. What is Stephen’s Law?
   2. Please Prove Stephen’s Law from Wien’s Law
   3. Please Prove Wien’s Displacement Law from Wien’s Law

Answer 1

a)

Stefan's Law states that the radiated power density (W/m2) of a black body is proportionalto its absolute temperature T raised to the fourth power.
E = e σ T^{​​​​​​4}

b)

The solution to your problem^(b) is this :

c)

Wien's law constricts the form of the blackbody spectrum to