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Worksheet: Spectroscopic Transitions in Hydrogenic Atoms

Q1:

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 Γ— 1 0 βˆ’ 1 8 J
  • B 9 . 8 0 9 Γ— 1 0 βˆ’ 1 8 J
  • C 4 . 3 6 0 Γ— 1 0 βˆ’ 1 8 J
  • D 1 . 4 7 1 Γ— 1 0 βˆ’ 1 7 J
  • E 1 . 7 1 7 Γ— 1 0 βˆ’ 1 7 J

Q2:

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 in eV and to 4 significant figures the energy of the photon produced by this transition.

Q3:

In the Bohr model of the hydrogen atom, shown in the diagram, one energy level has an energy of βˆ’ 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?