Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 32 - Elementary Particles - Problems - Page 945: 14

Answer

$d\approx4\times10^{-16}m$

Work Step by Step

Use equation 32–3 to estimate the range of the force, d. $$mc^2\approx\frac{hc}{2 \pi d}$$ $$d\approx\frac{hc}{2 \pi mc^2}$$ $$d \approx \frac{(6.63\times10^{-34} J \cdot s)(3.00\times10^8m/s)}{2\pi (497.6\times10^{6}eV)(1.60\times10^{-19}J/eV)}$$ $$d\approx4\times10^{-16}m$$
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