JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    Determine the power output of a \[_{92}{{U}^{235}}\] reactor if it takes 30 days to use 2kg of fuel. Energy released per fission is 200 MeV and \[N=6.023\times {{10}^{26}}\]per kilo mole.

    A)  63.28 MW

    B)  3.28 MW

    C)  0.6 MW

    D)  50.12 MW

    Correct Answer: A

    Solution :

    [a] Number of atoms in 2kg fuel \[=\frac{2}{235}\times 6.023\times {{10}^{26}}=5.12\times {{10}^{24}}\] number of fission per second \[=\frac{5.12\times {{10}^{24}}}{30\times 24\times 60\times 60}=1.978\times {{10}^{18}}\] Energy released per fission \[=200\,MeV=200\times 1.6\times {{10}^{-13}}=3.2\times {{10}^{-11}}J\] Power output \[=3.2\times {{10}^{-11}}\times 1.978\times {{10}^{18}}\] \[=63.28\times {{10}^{6}}W=63.28\,MW\]


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