Calculate the peak-wavelength for the human skin when the temperature of the human skin is 32°C.
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Explanation:
Wien's displacement law states that the black-body radiation curve for different temperatures peaks at a wavelength inversely proportional to the temperature.
λmax=bT
where b is Wien's displacement constant, equal to 2.898×10−3mK and T is the temperature in Kelvin. The temperature we were given needs to be converted to Kelvin:
T=(TF−32oF)⋅5K1oF+273K=310.15K
plugging this into our equation, we get the peak wavelength of radiated light:
λmax=2.898×10−3mK310.15K=9.34x10−6m=9.34μm
This is in the range of what is called infrared radiation.
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