Ion-like Hydrogen Atom Energy Levels

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Questions and Answers

Is the transition to energy level n=4 an emission or an absorption, and why?

  • Emission, because it occurs spontaneously.
  • Absorption, because the ionization energy affects transitions.
  • Emission, because energy is lost during the transition.
  • Absorption, because energy is gained during the transition. (correct)

Which of the following constants is used to determine the energy associated with the transition of the electron?

  • Boltzmann's constant
  • Avogadro's number
  • Planck's constant (h) (correct)
  • Speed of light (c)

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Study Notes

Ion-like Hydrogen Atom

  • The problem involves a hydrogen-like ion denoted as zX+2, indicating a positively charged ion with an atomic number Z.
  • The ion has an electron at energy level n1 and its ionization energy, the energy required to remove the electron, is 30.6 eV.
  • The atomic number Z and the initial energy level n1 need to be determined.

Transition to n=4

  • The problem asks to calculate the frequency of radiation associated with the electron transitioning from energy level n1 to n=4.
  • This transition can result in either the emission or absorption of radiation.
  • The type of transition (emission or absorption) needs to be explained and justified based on the energy levels involved.

Key Constants

  • The following physical constants are provided:
    • Speed of light (c): 3.0 x 10^8 m/s
    • Planck constant (h): 6.63 x 10^-34 Jâ‹…s
    • Rydberg constant (R): 1.09677 x 10^7 m^-1

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