Worksheet: Spectroscopic Transitions in Hydrogenic Atoms

In this worksheet, we will practice calculating the energies of spectroscopic transitions between energy levels for hydrogenic atoms.

Q1:

An electron in a H e + ion moves from the 𝑛 = 7 energy level to the 𝑛 = 2 energy level. Using the Bohr model, calculate the energy of the photon produced by this transition in electron volts to 4 significant figures.

Q2:

An electron in a L i 2 + ion moves from the 𝑛 = 2 energy level to the 𝑛 = 1 energy level. Using the Bohr model, calculate, to 4 significant figures, the energy of the photon produced by this transition.

  • A 6 . 5 4 0 × 1 0 J
  • B 9 . 8 0 9 × 1 0 J
  • C 4 . 3 6 0 × 1 0 J
  • D 1 . 4 7 1 × 1 0 J
  • E 1 . 7 1 7 × 1 0 J

Q3:

In the Bohr model of the hydrogen atom, shown in the diagram, one energy level has an energy of 0 . 5 4 eV relative to a free electron. How many lines are observed in the atomic emission spectrum of hydrogen if the electron is excited to this energy level?

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