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 - General Problems - Page 913: 72

Answer

0.65 J. 1.6 J.

Work Step by Step

The maximum yearly dose for a radiation worker is given on page 901 as 50 mSv. The table on page 901 shows that the Relative Biological Effectiveness (RBE) of slow neutrons is 5. Use equation 31–10b to change the Sv to Gy, then use the definition of a gray (Gy). $$Energy=Gy \times mass$$ $$=(50\times10^{-3}Sv)\frac{1Gy}{5Sv}\frac{1J/kg}{1Gy}(65kg)=0.65J$$ For the case of fast protons, the table on page 901 shows that the Relative Biological Effectiveness (RBE) of protons is 2. Repeat the calculation with the new RBE. $$Energy=Gy \times mass$$ $$=(50\times10^{-3}Sv)\frac{1Gy}{2Sv}\frac{1J/kg}{1Gy}(65kg)=1.6J$$
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