University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 39 - Particles Behaving as Waves - Problems - Exercises - Page 1319: 39.88

Answer

Choice B.

Work Step by Step

They have the same kinetic energy K. The helium ion, being much more massive, has the larger momentum $p=\sqrt{2mK}$. The de Broglie wavelength $\lambda=\frac{h}{p}$, so the helium ion with the larger p has the shorter wavelength.
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