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 - General Problems - Page 946: 49

Answer

200 GeV

Work Step by Step

Use equation 32–3 to estimate the mass of the particle, using the given distance. $$mc^2\approx\frac{hc}{2 \pi d}$$ $$\approx \frac{(6.63\times10^{-34} J \cdot s)(3.00\times10^8m/s)}{2\pi (10^{-18}m)}(\frac{eV}{1.60\times10^{-19}J})$$ $$\approx2\times10^{11}eV=200GeV$$ This is of the same order of magnitude as the mass of the $W^{\pm}$, 80 GeV.
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