Answer:
The allowable yearly effective radiation dose of a worker is 11.89 rad/yr
Given:
Rate of radiation dose a worker is subjected to, r = 177 mrad/h = 0.177 rad/h
time taken, t = 40 h
quality factor, Q = 8.4
allowable yearly effective effective dose = 5.00 rem
Solution:
Effective radiation dose can be calculated as a product of radiation rate, quality factor and time taken.
Now, calculating effective dose of radiation, [tex]r_{eff}[/tex] as:
[tex]r_{eff} = Q\times r\times t [/tex]
[tex]r_{eff} = 8.4\times 0.177\times 40[/tex]
[tex]r_{eff}[/tex] = 59.47 rad/h
Now, for allowable yearly effective dose of radiation, R:
R = [tex]\frac{r_{eff}}{5}[/tex]
R = [tex]\frac{59.47}{5} = 11.89 rad/yr[/tex]