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 - General Problems - Page 827: 48

Answer

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Work Step by Step

a. We find the wavelength using equation 27–8. $$\lambda=\frac{h}{p}=\frac{h}{mv}$$ $$\lambda=\frac{6.626\times10^{-34}J \cdot s }{(0.012kg)(150m/s)}=3.7\times10^{-34}m$$ b. The uncertainty in the bullet’s position is given. Use equation 28–1 to find the uncertainty in the momentum. $$\Delta p \geq \frac{\hbar}{\Delta x}$$ $$=\frac{(1.055\times10^{-34}J\cdot s)}{0.0060m}= 1.8\times10^{-32}kg \cdot m/s$$
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