Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Quantum physics-rayleigh jeans/wien's law

  1. Apr 19, 2010 #1
    Show that the Rayleigh-Jeans radiation law is not consistent with Wien displacement law,
    λmax T=constant, or vmax is proportional to T.
     
  2. jcsd
  3. Apr 19, 2010 #2
    The displacement law states that at any temperature T the black body spectrum reaches its peak at a wavelength given by the displacement law.
    If you happen to plot the Rayleigh-Jeans formula, you'll find there is no maximum. The shorter the wavelength, the higher the spectral power. This is known as the "ultra-violet catastrophe" and, in the search of a "cure", Planck came up with his famous proposal.
     
  4. Apr 21, 2010 #3
    Thank you very much...:))))
    That makes perfect sense...
     
  5. May 22, 2010 #4
    Actually, Planck developed his work as a refinement of Wien's law and was not attempting to solve the Ultra-violet catastrophe problem. In fact I believe his work (which included what is now know as Planck's constant) before or right around the same time as Rayleight-Jeans proposal.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook