Question #173351

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.


Expert's answer

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


λmax=bT\lambda_{max} =\dfrac{b}{T}

Where b2898μmKb \approx 2898 μm⋅K is the constant, and T=102°F312.04KT = 102\degree F \approx 312.04K is the absolute temperature. Thus, obtain:


λmax=2898μmK312.04K9.29μm\lambda_{max} = \dfrac{2898 μm⋅K}{312.04K}\approx 9.29\mu m

Answer. 9.29μm9.29\mu m.


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