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AP Physics 2
15.5 The Photoelectric Effect
15.3 Emission and Absorption Spectra
AdvancedMCQMathematicalConceptual14.9k
A vertical energy axis on the left has an upward arrow labeled E\text{ (eV)}. Four horizontal solid line segments are drawn at different vertical heights across the plot area. The lowest line segment is labeled n = 1 on its left and -13.60\text{ eV} on its right. The second line segment from the bottom is labeled n = 2 on its left and -3.40\text{ eV} on its right. The third line segment is labeled n = 3 on its left and -1.51\text{ eV} on its right. The top line segment is labeled n = 4 on its left and -0.85\text{ eV} on its right. The vertical spacing between successive horizontal lines decreases noticeably from bottom to top. No other labels, lines, text, or axes appear.
Energy-level diagram for the hydrogen atom.
A sample of atomic hydrogen gas is excited such that electrons populate the \(n = 4\) energy level. Photons emitted when these electrons transition directly from the \(n = 4\) level to the \(n = 1\) ground state are directed onto the cathode of a photoelectric apparatus, where the cathode material has a work function of \(4.75 \text{ eV}\). The energy levels of the hydrogen atom are \(E_1 = -13.60 \text{ eV}\), \(E_2 = -3.40 \text{ eV}\), \(E_3 = -1.51 \text{ eV}\), and \(E_4 = -0.85 \text{ eV}\). What is the stopping potential required to prevent the ejected photoelectrons from reaching the anode?

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