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 - Problems - Page 881: 16

Answer

2.224 MeV.

Work Step by Step

Deuterium has 1 proton and 1 neutron in the nucleus. Calculate the binding energy using the mass of ordinary hydrogen, and the mass of a neutron, which are found in Appendix B. The electron masses cancel. $$E_{binding}=\left(m(^{1}_{1}H)+m(^{1}_{0}n)-m(^{2}_{1}H)\right)c^2$$ $$ =\left( (1.007825u)+(1.008665u)-(2.014102)\right)c^2\left( \frac{931.49MeV/c^2}{u}\right)$$ $$ =2.224MeV$$
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