Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 30 - Quantum Physics - Problems and Conceptual Exercises - Page 1076: 72

Answer

$ \Delta y\geq 1.84\times 10^{-31}m$

Work Step by Step

According to Heisenberg's principle $\Delta p.\Delta y\geq\frac{h}{2\pi}$ $\implies m\Delta v.\Delta y\geq\frac{h}{2\pi}$ We plug in the known values to obtain: $0.26\times 0.0022\times \Delta y \geq\frac{6.63\times 10^{-34}}{2\pi}$ $5.72\times 10^{-4}\times \Delta y\geq1.055\times 10^{-34} $ $\implies \Delta y\geq 1.84\times 10^{-31}m$
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