Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 38 - Quantization - Conceptual Questions - Page 1151: 7

Answer

$\lambda_1 \gt \lambda_2$

Work Step by Step

We can write an expression for the speed of an electron: $K = \frac{1}{2}mv^2$ $v= \sqrt{\frac{2~K}{m}}$ Since $K_2 \gt K_1$, then $v_2 \gt v_1$ We can write an expression for the de Broglie wavelength: $\lambda = \frac{h}{mv}$ Since $v_1 \lt v_2$, then $\lambda_1 \gt \lambda_2$
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