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Unformatted text preview: Chapter 28 Additional Example Problems Q1. Show that the wavelengths for the Balmer series satisfy the equation nm n n 4 5 . 364 2 2 = where n = 3, 4, 5, . . . Ans: Start with Balmers equation, 2 H H 2 2 2 1 1 1 4 2 4 n R R n n  = = , or 2 2 H 4 4 n R n =  Substituting 1 7 H =1.0973732 10 m R , we obtain ( 29 7 2 2 3.645 10 m 4 n n  = = 2 2 364.5 nm 4 n n where 3, 4, 5, . . . . n = Q2. The size of the atom in Rutherfords model is about 1.0 10 10 m. (a) Determine the attractive electrical force between an electron and a proton separated by this distance. (b) Determine (in eV) the electrical potential energy of the atom. Ans: (a) From Coulombs law, ( 29 ( 29 ( 29 2 9 2 2 19 1 2 2 2 10 8.99 10 N m C 1.60 10 C = 1.0 10 m e k q q F r = = 8 2.3 10 N (b) The electrical potential energy is ( 29 ( 29 ( 29 9 2 2 19 19 1 2 10 8.99 10 N m C 1.60 10 C 1.60 10 C 1.0 10 m e k q q V r  = = 1819 1 eV 2.3 10 J 1.60 10 J...
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This note was uploaded on 08/25/2009 for the course PHY 213 taught by Professor Cao during the Summer '08 term at Kentucky.
 Summer '08
 Cao
 Physics

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