problem40_04 - h E(one-third of the original photon energy...

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40.4: a) The energy of the given photon is J. 10 63 . 1 m) 10 (122 m/s) 10 (3.00 s) J 10 63 . 6 ( λ 18 9 3 34 - - - × = × × × = = = c h hf E The energy levels of a particle in a box are given by Eq. 40.9 J) 10 kg)(1.63 10 11 . 9 ( 8 ) 1 2 ( s) J 10 63 . 6 ( 8 ) ( ) ( 8 20 31 2 2 2 34 2 2 2 2 2 2 2 - - - × × - × = - = - = E m m n h L m n mL h E m. 10 33 . 3 10 - × = b) The ground state energy for an electron in a box of the calculated dimensions is eV 3.40 J 10 43 . 5 19 m) 10 kg)(3.33 10 11 . 9 ( 8 ) s J 10 63 . 6 ( 8 2 10 31 2 34 2 2 = × = = = - × × × - - - mL
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Unformatted text preview: h E (one-third of the original photon energy), which does not correspond to the eV 6 . 13-ground state energy of the hydrogen atom. Note that the energy levels for a particle in a box are proportional to 2 n , whereas the energy levels for the hydrogen atom are proportional to 2 1 n-....
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