1153_Physics ProblemsTechnical Physics

# 1153_Physics ProblemsTechnical Physics - 494 Quantum...

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494 Quantum Mechanics (b) When the electron falls from state 2 to state 1, it puts out energy E hf hc = = = = 151 37 7 113 eV eV eV . λ into emitting a photon of wavelength λ = = × × × = hc E 6 626 10 10 113 1 60 10 11 0 34 8 19 . . . J s 3.00 m s eV J eV nm e je j a f e j . The wavelengths of the other spectral lines we find similarly: Transition 4 3 4 2 4 1 3 2 3 1 2 1 E eV a f 264 452 565 188 302 113 λ nm a f 4.71 2.75 2.20 6.60 4.12 11.0 P41.6 λ = 2 D for the lowest energy state K p m h m h mD p h h D = = = = × × × = × = = = = × × = × 2 2 2 2 2 34 2 27 14 2 14 34 14 20 2 2 8 6 626 10 8 4 1 66 10 1 00 10 8 27 10 0 517 2 6 626 10 3 31 10 λ λ . . . . . . . J s kg m J MeV J s 2 1.00 10 m kg m s e j e je j e j P41.7 E hc h m L h m L e e = = F H G I K J = λ 2 2 2 2 2 2 8 2 1 3 8 L h m c e = = × = 3 8 7 93 10 0 793 10 λ . . m nm P41.8 E hc h m L h m L e e = = F H G I K J = λ 2 2 2 2 2 2 8 2 1 3 8 so L h m c e = 3 8 λ P41.9 The confined proton can be described in the same way as a standing
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