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 944: 11

Answer

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Work Step by Step

On page 918, we have an expression that relates the momentum and radius of curvature for a particle that is moving perpendicular to a magnetic field. Here, the charge is ā€œeā€. $$v=\frac{eBr}{m}$$ $$p=mv=eBr$$ $$p=eBr$$ The previous relationship is valid even as we enter the relativistic limit, where p=E/c. This equation uses SI units. $$\frac{E_{joules}}{c}=eBr$$ $$E_{joules}=eBrc$$ To convert the energy in joules to electron volts, divide the energy by the elementary charge, e. $$\frac{E}{e}=E_{electron\;volts}=Brc$$ $$E_{electron\;volts}=Brc$$ This was the relationship to be proven.
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