1197_Physics ProblemsTechnical Physics

# 1197_Physics ProblemsTechnical Physics - 538 Atomic...

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538 Atomic Physics (c) Computing 60.0% of the wavelengths of the spectral lines shown on the energy-level diagram gives: 06002026 122 . . nm nm af = , 06001709 103 . nm = , 0 600 162 1 97 3 .. . nm nm = , 06001583 950 . nm nm = , and 06001520 912 . nm nm = These are seen to be the wavelengths of the α , β , γ , and δ lines as well as the short wavelength limit for the Lyman series in Hydrogen. (d) The observed wavelengths could be the result of Doppler shift when the source moves away from the Earth. The required speed of the source is found from = = + = f f vc λ 1 1 0600 bg . yielding = 0471 P42.59 The wave function for the 2 s state is given by Eq. 42.26: ψ π 2 0 32 0 2 1 42 1 2 0 s ra r a r a e = F H G I K J L N M O Q P . (a) Taking == × 0 10 0529 10 . m we find 20 10 12 14 1 1 21 1 5 71 0 s ae = × F H G I K J −= × −− . . m m. (b) 2 14 3 2 2 28 3 1 57 10 2 47 10 s a ej = × m m (c) Using Equation 42.24 and the results to (b) gives
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