Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 27 - Early Quantum Theory and Models of the Atom - Questions: 18


The electron has the longer wavelength.

Work Step by Step

The two particles, being accelerated from rest through voltages of equal magnitude, have the same kinetic energy. The proton has a larger mass than the electron and (if they have the same KE) will have the larger momentum because $p=\sqrt{2 m KE}$. The wavelength is inversely proportional to the particle’s momentum, $\lambda = \frac{h}{p}$, so the proton has the shorter wavelength.
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