Physics: Principles with Applications (7th Edition)

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

Chapter 30 - Nuclear Physics and Radioactivity - General Problems - Page 883: 74

Answer

2.224 MeV.

Work Step by Step

The neutron capture described is $^{1}_{1}H+\;^{1}_{0}n\rightarrow\;^{2}_{1}H $. Assume that the initial KE is nearly zero. The energy of the gamma ray is the energy release from the difference in the masses, using data from Appendix B. $$E_{\gamma}=\left( m(^{1}_{1}H)+ m(^{1}_{0}n)-m(^{2}_{1}H) \right)c^2$$ $$ =\left(1.007825u+1.008665u-2.014102u\right)c^2\left( \frac{931.49MeV/c^2}{u}\right)$$ $$ E_{\gamma}=2.224\;MeV$$
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