Question

Normal human body of the temperature is 98.6°F. During high fever if the temperature increases to 104°F. What is the change in peak wavelength that emitted by our body (Assume human body is a black body)?

Answer 1

Normal human body temperature (T) = 98.6°F. 

Convert Fahrenheit into Kelvin, \(\frac{F-32}{180}\) = \(\frac{k - 273}{100}\)

so, T = 98.6°F = 310 K

From wine's  displacement law

Maximum wavelength λ_max = \(\frac{b}{T}\) = \(\frac{2.898 \times 10^{-3}}{313}\)

λ_max = 9348 x 10^-9 m

λ_max = 9348 nm (at 98.6° F)

During high fever, human body temperature 

T = 104°F = 313K

Peak wavelength λ_max = \(\frac{b}{T}\) = \(\frac{2.898 \times 10^{-3}}{313}\)

λ_max = 9259 x 10^-9 m 

λ_max  = 9259 (at  104° F)