538 Atomic Physics(c)Computing 60.0% of the wavelengths of the spectral lines shown on the energy-leveldiagram gives:06002026122.. nmnmaf=, 06001709103.nm=, 0 600 162 197 3...nmnm=,06001583950.nmnm=, and 06001520912.nmnm=These are seen to be the wavelengths of the α, β, γ, and δlines as well as the shortwavelength limit for the Lyman series in Hydrogen.(d)The observed wavelengths could be the result of Doppler shift when the source moves awayfrom the Earth. The required speed of the source is found from′=′=−+=ffvcλ110600bg.yielding=0471P42.59The wave function for the 2sstate is given by Eq. 42.26: ψπ203202142120srararae=FHGIKJ−LNMOQP−.(a)Taking==×−0100529 10. mwe find20101214112115710sae=×FHGIKJ−=×−−−..mm.(b)2143 222831 57 102 47 10saej=×=×m m(c)Using Equation 42.24 and the results to (b) gives
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