Question

Derive an expression for the spectral energy density ρλ(λ)[the energy per unit volume in the wavelength region between λ and λ+dλ is ρλ(λ)dλ]. Show that the wavelength λp at which the spectral energy density is maximum satisfies the equation 5(1-e-y ) = y, where y=hc/λpkT, demonstrating that the relationship λpT = constant (Wien’s Law) is satisfied. Find λpT approximately. Show that λp ≠c/νp, where νp is the frequency at which the blackbody energy density ρv is maximum. The shapes and peak locations of density functions depend on the representation chosen.

Answer 1