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: 69

Answer

$\frac{h}{\sqrt{2mqV}}$

Work Step by Step

We know that $\frac{1}{2}mv^2=qV$ $\implies \frac{m^2v^2}{2m}=qV$ $\implies \frac{(mv)^2}{2m}=qV$ $\implies \frac{p^2}{2m}=qV$ But $p=\frac{h}{\lambda}$ $\implies \frac{(\frac{h}{\lambda})^2}{2m}=qV$ This simplifies to: $\lambda=\frac{h}{\sqrt{2mqV}}$
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