Given that the temperature of the sun is about 5700 K, use your result from Problem 4 to estimate the wavelength of the maximum in the solar emission spectrum.

Problem 4

The blackbody energy density given in Equation 2.75 is the energy density per unit frequency interval. In other words, du = ρ(ν)dν is the energy per unit volume be tween ν and ν + dν. Convert the frequency-dependent ρ(ν) to a wavelength-dependent function ρ(λ) such that du = ρ(ν)dν = ρ(λ)dλ.

Exercise 2.75

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p(v) = 8thy³ 1 C ehv/kBT-1 3