Problem: The electron in a ground-state H atom absorbs a photon of wavelength 97.20 nm. To what energy level does it move?

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Recall: The Balmer equation relates the wavelength of a photon from the transition of an electron in an atom. For an absorption process, the Balmer equation is:

where R = Rydberg constant (1.0974 × 107 m), Z = atomic number, n = energy level.

For an electron in a ground-state H atom (Z = 1), the initial energy level is ninitial = 1. We’re given the wavelength of a photon absorbed by this electron, λ = 97.20 nm. Converting from nm to m:

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The electron in a ground-state H atom absorbs a photon of wavelength 97.20 nm. To what energy level does it move?