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: 77

Answer

(a) $7.0\times 10^{-25}Kg\frac{m}{s}$ (b) $K.E=2.7\times 10^{-19}J=1.7eV$

Work Step by Step

(a) According to Heisenberg's priniciple $\Delta p\geq\frac{h}{2\pi}$ We plug in the known values to obtain: $\Delta p\times 0.15\times 10^{-9}\geq1.055\times 10^{-34}$ $\implies \Delta p\geq7.0\times 10^{-25}Kg\frac{m}{s}$ (b) We can find the kinetic energy of the electron as $K.E=\frac{p^2}{2m}$ We plug in the known values to obtain: $K.E=\frac{(7.03\times 10^{-25})^2}{2\times 9.1\times 10^{-31}}$ $K.E=2.7\times 10^{-19}J=1.7eV$
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