Question

Energy released in the fission of a single $ _{92}{{U}^{235}} $ nucleus is 200 MeV. The fission rate of $ _{92}{{U}^{235}} $ fuelled reactor operating at power level of 5 MW is

• A. $ 1.56\times {{10}^{14}}/s $
• B. $ 1.56\times {{10}^{17}}/s $
• C. $ 1.56\times {{10}^{20}}/s $
• D. $ 1.56\times {{10}^{-17}}/s $

Answer 1

Answer: (B)

Energy required per second
$=5MW $
$=5\times {{10}^{6}}\text{ }J/s $ Energy released during one fission
$=200\text{ }MeV $
$=200\times 1.6\times {{10}^{-13}}J $
$ \therefore $ Fission rate
$=\frac{5\times {{10}^{6}}}{200\times 1.6\times {{10}^{-13}}} $
$=1.56\times {{10}^{17}}/s $