Question
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. $2\lambda$
(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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Video Transcript

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.