Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 38 - Photons and Matter Waves - Problems - Page 1185: 88

Answer

$1.66\times 10^{-35}\;m$

Work Step by Step

The de Broglie wavelength $(\lambda)$ is express by the formula, $\lambda=\frac{h}{p}$, where $h$ is the Planck's constant and $p$ is the momentum of the moving particle. Here, the momentum of the bullet is given by $p=mv=(0.04\times 1000)\;kg.m/s=40\;kg.m/s$ Therefore, the de Broglie wavelength of the bullet is given by $\lambda=\frac{6.63\times 10^{-34}}{40}\;m$ or, $\lambda\approx 1.66\times 10^{-35}\;m$
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