Outline the steps leading to the formula for the number of photons with angular fre- quencies between w and w + dw in blackbody radiation at a temperature T: w? dw V n(w)dw = 2 x 272c³ ehw/kBT – 1 Show that n(w) has a peak at a frequency given by w = 1.59kgT/h. Show further that the spectral energy densities ux and u. peak at Amax = hc/(4.97kBT) and wmax = 2.82kpT/h, respectively.
Outline the steps leading to the formula for the number of photons with angular fre- quencies between w and w + dw in blackbody radiation at a temperature T: w? dw V n(w)dw = 2 x 272c³ ehw/kBT – 1 Show that n(w) has a peak at a frequency given by w = 1.59kgT/h. Show further that the spectral energy densities ux and u. peak at Amax = hc/(4.97kBT) and wmax = 2.82kpT/h, respectively.
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Transcribed Image Text:Outline the steps leading to the formula for the number of photons with angular fre-
quencies between w and w + dw in blackbody radiation at a temperature T:
w? dw
V
n(w)dw = 2 x
272c3 ehw/kBT
Show that n(w) has a peak at a frequency given by w = 1.59kgT/h. Show further that the
spectral energy densities ux and uw peak at Amax = hc/(4.97KBT) and wmax = 2.82KBT/ħ,
respectively.
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