Answer to Question #173351 in Quantum Mechanics for kislay

Question

Suppose the temperature of a COVID positive patient skin is recorded as Tskin = 102 °F. Determine the wavelength at which the radiation emitted from the skin reaches its peak.

Answer 1

According to the Wien's displacement law, the peak radiation is achieved at the following wavelength:

$\lambda_{max} =\dfrac{b}{T}$

Where $b \approx 2898 μm⋅K$ is the constant, and $T = 102\degree F \approx 312.04K$ is the absolute temperature. Thus, obtain:

$\lambda_{max} = \dfrac{2898 μm⋅K}{312.04K}\approx 9.29\mu m$

Answer. $9.29\mu m$.