- As an object is heated, the radiation it emits peaks at higher and higher frequencies.
- Shown here are curves corresponding to temperatures of 300 K (room temperature), 1000 K (glow dull red), 4000 K (red hot), and 7000 K (white hot).
“Red Hot” Wien’s Law - The Sun and stars emit energy that approximates the energy from a blackbody.
- It is possible to estimate their temperatures by measuring the energy they emit as a function of wavelength - that is, by measuring their color.
- The wavelength at which a blackbody emits its maximum energy can be calculated by
- where the wavelength max is in nanometers (10-9 m)
- and the temperature T is in kelvin.
- This relationship is known as Wien’s law.
- Hotter objects are brighter and “bluer” than cooler objects.
Getting Warmer Problem - Wien’s law - The average surface temperature of the Sun is about 5800 K. At what wavelength is maximum energy emitted from the Sun?
- If T = 5800 K
- and max = 3,000,000 / T ,
- then max = 3,000,000 / 5800 = 520 nm.
- 520 nm is at the middle of the visible light portion of the electromagnetic spectrum.
- The human eye is most sensitive to the wavelengths at which the Sun puts out the most energy.
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