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 - Page 797: 24

Answer

Yes. Yes.

Work Step by Step

a. The de Broglie wavelength is inversely proportional to the particle’s momentum, $\lambda = \frac{h}{p}$, so if the particle has a small mass and is very slow, the wavelength can be bigger than the dimensions of the particle. b. A large-mass particle moving quickly will have a large momentum, and it is possible for the de Broglie wavelength to be smaller than the dimensions of the particle There is no direct connection between a particle’s size and its de Broglie wavelength.
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