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: 13

Answer

$\Delta x\ge5.54\times10^{-10}m$

Work Step by Step

$KE=\frac{1}{2}mv^2=\frac{1}{2}m\frac{m}{m}v^2=\frac{p^2}{2m}$ $p=\sqrt{2mKE}=3.8202\times10^{-23}kgm/s$ $p'=\sqrt{2mKE1.01}=3.8392\times10^{-23}kgm/s$ $\Delta p=1.905\times10^{-25}kgm/s$ $\Delta x\ge\frac{\hbar}{\Delta p}$ $\Delta x\ge5.54\times10^{-10}m$
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