College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 28 - Problems - Page 1074: 12

Answer

The smallest structure that could be resolved would have a size of $1.23\times 10^{-11}~m$

Work Step by Step

We can find the wavelength of the electrons: $\lambda = \frac{h}{p_e}$ $\lambda = \frac{h}{\sqrt{2~m_e~E_e}}$ $\lambda = \frac{6.626\times 10^{-34}~J~s}{\sqrt{(2)(9.1\times 10^{-31}~kg)(10,000~eV)(1.6\times 10^{-19}~J/eV)}}$ $\lambda = 1.23\times 10^{-11}~m$ The smallest structure that could be resolved would have a size of $1.23\times 10^{-11}~m$
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