. A general expression for the energy levels of one-electron atoms and ions is uk q°q² E, 2h'n? Here u is the reduced mass of the atom, given by u = m, m,/ (m, + m2), where m is the mass of the electron and m, is the mass of the nucleus; k, is the Coulomb constant; and q and 2 are the charges of the electron and the nucleus, respec- tively. The wavelength for the n= 3 to n = 2 transition of the hydrogen atom is 656.3 nm (visible red light). What are the wavelengths for this same transition in (a) positronium, which consists of an electron and a positron, and (b) singly ionized helium? Note: A positron is a positively charged electron.

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Chapter1: Units, Trigonometry. And Vectors
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. A general expression for the energy levels of one-electron
atoms and ions is
uk q°q²
E,
2h'n?
Here u is the reduced mass of the atom, given by u = m, m,/
(m, + m2), where m is the mass of the electron and m, is the
mass of the nucleus; k, is the Coulomb constant; and q and
2 are the charges of the electron and the nucleus, respec-
tively. The wavelength for the n= 3 to n = 2 transition of the
hydrogen atom is 656.3 nm (visible red light). What are the
wavelengths for this same transition in (a) positronium, which
consists of an electron and a positron, and (b) singly ionized
helium? Note: A positron is a positively charged electron.
Transcribed Image Text:. A general expression for the energy levels of one-electron atoms and ions is uk q°q² E, 2h'n? Here u is the reduced mass of the atom, given by u = m, m,/ (m, + m2), where m is the mass of the electron and m, is the mass of the nucleus; k, is the Coulomb constant; and q and 2 are the charges of the electron and the nucleus, respec- tively. The wavelength for the n= 3 to n = 2 transition of the hydrogen atom is 656.3 nm (visible red light). What are the wavelengths for this same transition in (a) positronium, which consists of an electron and a positron, and (b) singly ionized helium? Note: A positron is a positively charged electron.
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