Physics: Principles with Applications (7th Edition)

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

Chapter 31 - Nuclear Energy; Effects and Uses of Radiation - Problems - Page 911: 19

Answer

$9.1\times10^{-4}\approx 0.09\%\approx\frac{1}{1100}$.

Work Step by Step

The fraction is 200 MeV divided by the mass-energy of a $^{235}_{92}U$ nucleus. $$\frac{200\;MeV}{mc^2}$$ $$=\frac{200\;MeV}{(235\;u)\left(\frac{931.49MeV/c^2}{u}\right)}$$ $$=9.1\times10^{-4}\approx 0.09\%\approx\frac{1}{1100}$$
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