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 - Questions - Page 1180: 9b

Answer

If we double the speed, the de Broglie wavelength decreases by a factor of $\frac{1}{2}$

Work Step by Step

We can use Equation (38-20) to find an expression for the de Broglie wavelength: $\frac{1}{2}mv^2 = \frac{h^2}{2m \lambda^2}$ $\lambda^2 = \frac{h^2}{m^2~v^2}$ $\lambda = \frac{h}{m~v}$ If we double the speed, the de Broglie wavelength decreases by a factor of $\frac{1}{2}$
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