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: 4

Answer

$4.8\times 10^{3}m/s$

Work Step by Step

The uncertainty in position is given. Use Eq. 28–1 to find the uncertainty in the speed. $$\Delta p= m \Delta v \geq \frac{\hbar}{\Delta x}$$ $$\Delta v \geq \frac{\hbar}{m \Delta x}$$ $$=\frac{1.055\times 10^{-34}J \cdot s}{(9.11\times10^{-31}kg)(2.4\times10^{-8}m)}$$ $$=4825 m/s \approx 4.8\times 10^{3}m/s $$
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