Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 40 - All About Atoms - Problems - Page 1251: 67

Answer

$\lambda_{min}=\frac{1240\;pm}{V}$

Work Step by Step

The cutoff wavelength in the continuous x-ray spectrum from any target is the shortest wavelength in the spectrum, which is emitted when an incident electron loses its full kinetic energy $K_0$ in a single collision: $\lambda_{min}=\frac{hc}{K_0}$ or, $\lambda_{min}=\frac{hc}{eV}$ or, $\lambda_{min}=\frac{(6.626\times 10^{-34}\;J.s)\times(3\times 10^{8})\;m/s}{(1.6\times 10^{-19}\;C)\times V(eV)}\;$ or, $\lambda_{min}=\frac{(6.626\times 10^{-34}\;J.s)\times(3\times 10^{8})\;m/s}{(1.6\times 10^{-19}\;C)\times V(keV)\times 10^{3}}\;m$ or, $\lambda_{min}=\frac{1240\times10^{-12}\;m}{V}$ or, $\lambda_{min}=\frac{1240\;pm}{V}$
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