A sample of cold gas in its ground state (\(E_1 = -10.0\text{ eV}\)) is illuminated by continuous light, producing an absorption spectrum with a dark line at wavelength \(\lambda = 177\text{ nm}\). The energy-level diagram for an atom of the gas is shown. An atom absorbs a photon corresponding to this line and subsequently undergoes a two-step cascade decay back to the ground state. What are the energies of the two photons emitted during this decay? • Nerd Notes

AP Physics 2

15.3 Emission and Absorption Spectra

15.2 The Bohr Model of Atomic Structure

AdvancedMCQMathematicalConceptual12.9k

A vertical axis labeled Energy (eV) stands on the left side of the diagram, with labeled tick marks at -10.0, -5.5, -3.0, -1.0, and 0. Four solid horizontal line segments extend to the right from the vertical axis to represent atomic energy levels. The lowest horizontal line segment is positioned at -10.0 on the vertical axis and is labeled E_1 = -10.0 eV. The second line segment above it is positioned at -5.5 and labeled E_2 = -5.5 eV. The third line segment above that is at -3.0 and labeled E_3 = -3.0 eV. The top horizontal line segment is at -1.0 and labeled E_4 = -1.0 eV. A horizontal dashed line at 0 on the vertical axis is labeled 0 eV. No other labels, lines, text, or axes appear. — Energy level diagram for the atom.

A sample of cold gas in its ground state (\(E_1 = -10.0\text{ eV}\)) is illuminated by continuous light, producing an absorption spectrum with a dark line at wavelength \(\lambda = 177\text{ nm}\). The energy-level diagram for an atom of the gas is shown. An atom absorbs a photon corresponding to this line and subsequently undergoes a two-step cascade decay back to the ground state. What are the energies of the two photons emitted during this decay?

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