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 1075: 64

Answer

$K.E=1.07\times 10^{-17}J$

Work Step by Step

We can find the kinetic energy of the electron as follows: $\lambda=\frac{h}{p}$ This can be rearranged as: $p=\frac{h}{\lambda}$ We plug in the known values to obtain: $p=\frac{6.63\times 10^{-34}}{1.5\times 10^{-10}}=4.42\times 10^{-24}Kg\frac{m}{s}$ Now $K.E=\frac{p^2}{2m}$ We plug in the known values to obtain: $K.E=\frac{(4.42\times 10^{-24})^2}{2\times 9.1\times 10^{-31}}$ $K.E=1.07\times 10^{-17}J$
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