Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 28 - Quantum Mechanics of Atoms - Problems - Page 826: 3

Answer

$5.3\times 10^{-11}m$

Work Step by Step

The uncertainty in the velocity is given in the problem. Calculate the uncertainty in the position by using equation 28–1. $$\Delta x \geq \frac{\hbar}{\Delta p}=\frac{\hbar}{m \Delta v}$$ $$=\frac{1.055\times 10^{-34}J \cdot s}{(1.67\times10^{-27}kg)(1200m/s)}$$ $$=5.3\times 10^{-11}m$$
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