Chemistry (4th Edition)

Published by McGraw-Hill Publishing Company
ISBN 10: 0078021529
ISBN 13: 978-0-07802-152-7

Chapter 6 - Section 6.4 - Wave Properties of Matter - Checkpoint - Page 253: 6.4.1

Answer

$$\therefore \lambda = 3.3\times 10^{-14}\text{ m}$$

Work Step by Step

De Broglie Wavelength of a particle of mass $m$ moving with velocity $v$ is given by: $$\lambda = \frac{h}{mv}$$ where $m = 4.00 \text{ amu }=4.00\times 1.67\times 10^{-27} \text{ kg}$ $v = 3.0\times 10^{6}\text{ m/s}$ $$\therefore \lambda = \frac{6.67\times 10^{-34}}{1.67\times 10^{-27}\times 3\times 10^6}m = 3.3\times 10^{-14}\text{ m}$$
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