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AP Physics 2
15.3 Emission and Absorption Spectra
15.2 The Bohr Model of Atomic Structure
IntermediateMCQMathematical21.6k
An energy-level diagram with a vertical axis labeled E on the left, pointing upward. Four horizontal line segments are stacked vertically to represent energy levels. The bottom line is labeled n = 1 at the right end and -E_0 at the left end. The second line up is labeled n = 2 at the right end and -E_0 / 4 at the left end. The third line up is labeled n = 3 at the right end and -E_0 / 9 at the left end. The fourth line up is labeled n = 4 at the right end and -E_0 / 16 at the left end. A small shaded circle representing an electron rests on the n = 1 line. No other labels, lines, text, or axes appear.
Energy-level diagram for a hydrogen-like ion.
An electron in a hydrogen-like ion with ground-state energy \(-E_0\) is initially in the ground state (\(n = 1\)). The energy of the \(n\text{th}\) bound state is given by \(E_n = -\dfrac{E_0}{n^2}\), as illustrated in the energy-level diagram. Which of the following expressions represents the minimum photon energy required to excite the electron from the ground state to the second excited state?

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