AP Physics 2
15.3 Emission and Absorption Spectra
15.2 The Bohr Model of Atomic Structure
15.1 Quantum Theory and Wave-Particle Duality
In the Bohr model of the atom, the energy levels of a single-electron system with atomic number \(Z\) are given by \(E_n = -\dfrac{Z^2 E_1}{n^2}\), where \(E_1\) is the ground-state energy magnitude of neutral hydrogen (\(Z = 1\)) and \(n\) is the principal quantum number. When an electron in a neutral hydrogen atom transitions from the \(n = 2\) state to the \(n = 1\) state, a photon of wavelength \(\lambda_0\) is emitted. In terms of \(\lambda_0\) and \(Z\), which of the following expressions represents the wavelength of the photon emitted when an electron in a single-electron ion of atomic number \(Z\) transitions from the \(n = 3\) state to the \(n = 2\) state?
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