Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 38 - Photons and Matter Waves - Problems - Page 1184: 67

Answer

The least uncertainty in any simultaneous measurement of the momentum component is $~~2.1\times 10^{-24}~kg~m/s$

Work Step by Step

$\Delta x~\Delta p \geq \hbar$ $\Delta p \geq \frac{\hbar}{\Delta x}$ $\Delta p \geq \frac{1.05\times 10^{-34}~J~s}{50\times 10^{-12}~m}$ $\Delta p \geq 2.1\times 10^{-24}~kg~m/s$ The least uncertainty in any simultaneous measurement of the momentum component is $~~2.1\times 10^{-24}~kg~m/s$
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