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.
$$Energy=Gy \times mass$$
$$=(50\times10^{-3}Sv)\frac{1Gy}{2Sv}\frac{1J/kg}{1Gy}(65kg)=1.6J$$