What is the energy of photon of wavelength 1 mm? Compare this with the characteristic thermal energy at 3000K.
E=hν=hcλ=6.626⋅10−34⋅3⋅1081⋅10−3=19.878⋅10−23(J)E=h\nu=\frac{hc}{\lambda}=\frac{6.626\cdot10^{-34}\cdot3\cdot10^8}{1\cdot10^{-3}}=19.878\cdot10^{-23}(J)E=hν=λhc=1⋅10−36.626⋅10−34⋅3⋅108=19.878⋅10−23(J)
The characteristic thermal energy
Et≈kT=1.38⋅10−23⋅3000=4.14⋅10−20(J)E_t\approx kT=1.38\cdot10^{-23}\cdot3000=4.14\cdot10^{-20}(J)Et≈kT=1.38⋅10−23⋅3000=4.14⋅10−20(J)
Et/E≈208E_t/E\approx208Et/E≈208
So, the characteristic thermal energy is 208 times greater than the energy of photon. Answer
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