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For an electron with a de Broglie wavelength $\lambda$, which of the following orbital circumferences within the atom would be disallowed? Select two answers.
  1. $0.5\lambda$
  2. $\lambda$
  3. $1.5\lambda$
  4. $2\lambda$
Question by OpenStax is licensed under CC BY 4.0.
Final Answer
(a) and (c)
Solution Video

OpenStax College Physics for AP® Courses Solution, Chapter 30, Problem 15 (Test Prep for AP® Courses) (0:24)

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This is College Physics Answers with Shaun Dychko. Electron orbitals only exist with a circumference that is an integer multiple of the de Broglie wavelength of the electron and so that means we can exclude anything that's not an integer times <i>λ</i>. So that means (a) and (c) are disallowed.