PHYS 3310 Module 3.1

Blackbody Radiation

Recommended Reading

3.1 Blackbody Radiation

Learning Objectives

  • Apply Wien’s and Stefan’s laws to analyze radiation emitted by a blackbody
  • Explain Planck’s hypothesis of energy quanta

Thermal Radiation

Stephan’s Law relates the intensity (I) of the emitted thermal radiation to the temperature (T) of the object

𝜎 = 5.67037 × 10−8 W∕m2⋅K4

Wein’s Displacement Law relates the temperature (T) of the object to the peak wavelength of the emitted thermal radiation

Practice!

Practice 3.1.1
Your temperature is 98.6°F. Assuming your skin is a perfect radiator (e = 1), determine the wavelength corresponding to the largest intensity.
A. 8.0 µm
B. 9.3 µm
C. 3 µm
D. 5.7 µm
E. 29.4 µm
Check your answer: B. 9.3 µm

Discuss!


Classical Theory for Blackbody Radiation

Rayleigh-Jeans Formula


Modern Theory for Blackbody Radiation

Intensity of Blackbody Radiation