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: 44.1

Answer

See explanation.

Work Step by Step

The two photons have equal and opposite momentum vectors. Since E =pc, the photons have equal energies. Each has half the rest energy of the neutral pion. The rest mass of the pion is 270(0.511 MeV) = 138 MeV. Each photon has energy of 69 MeV. Frequency $f=\frac{E}{h}=1.7\times10^{22}Hz$. Wavelength $\lambda=\frac{c} {f}=1.8\times10^{-14}m$. These photons are in the gamma ray part of the EM spectrum.
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