Chemistry: Molecular Approach (4th Edition)

Published by Pearson
ISBN 10: 0134112830
ISBN 13: 978-0-13411-283-1

Chapter 7 - Exercises - Page 332: 54

Answer

$\lambda=4.6\times10^{-34}\,m$ Since wavelength isch small and can be neglected, the wave nature of matter is not significant for bullets.

Work Step by Step

Recall that de Broglie wavelength is $\lambda=\frac{h}{mv}$ where $h$ is Planck's constant, $m$ is the mass and $v$ is the velocity. Substituting values, we have $ \lambda=\frac{6.626\times10^{-34}\,J\cdot s}{(1.9\times10^{-3}\,kg)(765\,m/s)}$ $=4.6\times10^{-34}\,m$ Since wavelength is small and can be neglected, the wave nature of matter is not significant for bullets.
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