Question #157699

What is the energy of photon of wavelength 1 mm? Compare this with the characteristic thermal energy at 3000K.​


1
Expert's answer
2021-01-22T15:04:58-0500

E=hν=hcλ=6.626103431081103=19.8781023(J)E=h\nu=\frac{hc}{\lambda}=\frac{6.626\cdot10^{-34}\cdot3\cdot10^8}{1\cdot10^{-3}}=19.878\cdot10^{-23}(J)


The characteristic thermal energy


EtkT=1.3810233000=4.141020(J)E_t\approx kT=1.38\cdot10^{-23}\cdot3000=4.14\cdot10^{-20}(J)


Et/E208E_t/E\approx208


So, the characteristic thermal energy is 208 times greater than the energy of photon. Answer







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