Answer to Question #115299 in Optics for Vidurjah Perananthan

Question #115299
A human body has a surface temperature of about 33 ° C and can be considered a black body. a) Calculate at what wavelength the human body has its radiation maximum.
b) Imagine that you are in a room with a certain temperature. What net effect (radiated power minus absorbed power) radiates your body? Make appropriate estimates. (Suppose your body is a black body and it absorbs radiation from all wavelengths)
1
Expert's answer
2020-05-14T09:25:49-0400

a) We can use Wien's displacement law:


λ=bT=2.898×10333+273=9.47106 m.\lambda=\frac{b}{T}=\frac{2.898×10^{−3}}{33+273}=9.47\cdot10^{-6}\text{ m}.

b) The rate of heat transfer can be expressed as


Qnett=σeA(T22T12),\frac{Q_\text{net}}{t}=\sigma eA(T_2^2-T_1^2),

where

e - emissivity of skin in the infrared 0.97),

A - surface area of our body.


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