Solution

ID: past-exam-of-the-short-options-paper-of-the-physics-prelims-of-the-university-of-oxford/2021/s03/1/d/solution

Convert the skin temperature to . To locate the peak per unit wavelength in Planck's law, write and maximize . Its positive stationary point obeys
This gives Wien's displacement law, . Hence
in the thermal infrared. A peak per unit frequency would occur at a different spectral position; this answer uses the conventional wavelength peak.

New to topics? Read the docs here!