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The Sizes of Highly Excited Atoms

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a) Calculate the radius r_n of a hydrogen atom whose electron is Bohr orbit n. Evaluate your result for n = 50, 100 and 500.

b) As mentioned in the text, transitions between such highly excited states of hydrogen have been observed. For instance, an emission line has been observed with radio telescopes at a frequency of 5009 MHz. Show that this is the frequency of the transition from n = 110 to n = 109 in the Bohr model of hydrogen.

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This solution shows the step-by-step process for computing the radius of a hydrogen orbit of various Bohr orbits.

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a) We wish to calculate the radius r_n of a hydrogen atom whose electron is ...

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