University Physics with Modern Physics (14th Edition)

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

Chapter 44 - Particle Physics and Cosmology - Problems - Exercises - Page 1519: 44.6

Answer

See explanation.

Work Step by Step

The maximum lifetime of the particle is given by the uncertainty principle. $$\Delta E \Delta t = \frac{\hbar}{2}$$ $$\Delta t = \frac{\hbar}{2\Delta E}=4.20\times10^{-25}s$$ The approximate range of the force is how far the meson could travel in its lifetime, which is limited by the speed of light, c. $$c\Delta t=1.26\times10^{-16}m$$
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