What is the wavelength of the peak of the blackbody radiation curve for the human body (T = 310 K)?
To determine the wavelength of the peak of the blackbody radiation curve for the human body, we can use Wien's displacement law, which states that the peak wavelength of the radiation emitted by an object is inversely proportional to its temperature.
Wien's displacement law equation is:
λmax = b / T
Where:
- λmax represents the peak wavelength of the radiation
- b is Wien's displacement constant, which is approximately equal to 2.898 × 10^(-3) m·K
- T is the temperature of the object in Kelvin
In this case, T = 310 K (since the human body temperature is around 37 degrees Celsius or 310 Kelvin).
Plugging in the values into the equation:
λmax = 2.898 × 10^(-3) / 310
λmax ≈ 9.35 × 10^(-6) meters
Therefore, the wavelength of the peak of the blackbody radiation curve for the human body at a temperature of 310 K is approximately 9.35 × 10^(-6) meters or 9.35 μm (micrometers).