University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 38 - Photons: Light Waves Behaving as Particles - Problems - Exercises - Page 1276: 38.14

Answer

See explanation.

Work Step by Step

The accelerating voltage gives kinetic energy to the electrons, which then produce the x ray photons. a. $$eV=\frac{hc}{\lambda}$$ $$V =\frac{hc}{ e \lambda}= \frac{(6.626\times10^{-34}J \cdot s)(3.00\times10^8 m/s)}{(1.602\times10^{-19}C) (0.150\times 10^{-9}m )}=8.27\times 10^{3}volts$$ b. $$eV=\frac{hc}{\lambda}$$ $$\lambda =\frac{hc}{ eV}= \frac{(4.136\times10^{-15}eV \cdot s)(3.00\times10^8 m/s)}{(30000eV)}=4.14\times 10^{-11}m$$
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