p40_048 - beyond three signiFcant Fgures by using the...

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48. The wavelength λ of the photon emitted in a transition belonging to the Balmer series satisFes E ph = hc λ = E n E 2 = (13 . 6eV) µ 1 n 2 1 2 2 where n =3 , 4 , 5 , ... Using the result of problem 3 in Chapter 39, we Fnd λ = 4 hcn 2 (13 . 6eV)( n 2 4) = 4(1240 eV · nm) 13 . 6eV µ n 2 n 2 4 . Plugging in the various values of n , we obtain these values of the wavelength: λ = 656 nm (for n =3), λ = 486 nm (for n =4) , λ = 434 nm (for n =5 ) , λ = 410 nm (for n =6 ) , λ = 397 nm (for n =7) , λ = 389 nm (for n = 8), etc. ±inally for n
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Unformatted text preview: λ beyond three signiFcant Fgures by using the more accurate values for m e , e and h listed in Appendix B when calculating E n in Eq. 40-24. Another factor that contributes to the error is the motion of the atomic nucleus. It can be shown that this e²ect can be accounted for by replacing the mass of the electron m e by m e m p / ( m p + m e ) in Eq. 40-24, where m p is the mass of the proton. Since m p À m e , this is not a major e²ect.]...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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