BCECE Medical BCECE Medical Solved Papers-2007

  • question_answer
    If 200 MeV energy is released in the fission of a single nucleus of\[_{92}{{U}^{235}}\]. How many fissions must occur per second to produce a power of 1kW?

    A)  \[3.125\times {{10}^{13}}\]

    B)  \[6.25\times {{10}^{13}}\]

    C)  \[1.525\times {{10}^{13}}\]

    D)  None of these

    Correct Answer: A

    Solution :

    We know that \[1\,kW=1\times {{10}^{3}}J/s\] Also. \[1.6\times {{10}^{-19}}J=1\,\,eV\]                 \[\therefore \]\[200\,\,MeV=200\times 1.6\times {{10}^{-19}}\times {{10}^{6}}J\] Number of fissions \[=\frac{Power}{Energy\text{ }released}\]                                 \[=\frac{{{10}^{3}}}{200\times 1.6\times {{10}^{-13}}}\] \[=3.125\times {{10}^{13}}\].


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