Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 42 - Nuclear Physics - Problems - Page 1303: 22a

Answer

$ \Delta E_{1}= 19.8 \mathrm{MeV}$

Work Step by Step

We add energy to produce ${ }^{4} \mathrm{He} \rightarrow p+{ }^{3} \mathrm{H},$So, the energy needed is $$ \begin{aligned} \Delta E_{1} &=\left(m_{3 \mu}+m_{14}-m_{4 \mathrm{He}}\right) c^{2}\\ &=(3.01605 \mathrm{u}+1.00783 \mathrm{u}-4.00260 \mathrm{u})(931.5 \mathrm{MeV} / \mathrm{u}) \\ &=\boxed{19.8 \mathrm{MeV}} \end{aligned} $$
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