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1178_Physics ProblemsTechnical Physics

1178_Physics ProblemsTechnical Physics - Chapter 42 P42.2(a...

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Chapter 42 519 P42.2 (a) λ min max = hc E Lyman ( n f = 1): λ min . = = = hc E 1 1 240 91 2 eV nm 13.6 eV nm (Ultraviolet) Balmer ( n f = 2 ): λ min . = = = hc E 2 1 240 13 6 365 eV nm 1 4 eV nm b g (UV) Paschen ( n f = 3 ): λ min . = = = 3 91 2 821 2 nm nm a f (Infrared) Bracket ( n f = 4 ): λ min . = = = 4 91 2 1 460 2 nm nm a f (IR) (b) E hc max min = λ Lyman: E E max . = = 13 6 1 eV c h Balmer: E E max . = = 3 40 2 eV c h Paschen: E E max . = = 1 51 3 eV c h Brackett: E E max . = = 0 850 4 eV c h Section 42.2 Early Models of the Atom P42.3 (a) For a classical atom, the centripetal acceleration is a v r e r m E e r m v e r e e = = = − + = − 2 0 2 2 2 0 2 2 0 1 4 4 2 8 π π π so dE dt e r dr dt e a c e c e r m e = = = F H G I K J 2 0 2 0 2 2 3 2 0 3 2 0 2 2 8 1 6 6 4 π π π π . Therefore,
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