BCECE Engineering BCECE Engineering Solved Paper-2007

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

    A)  \[3.125\,\times {{10}^{13}}\]                    

    B)  \[6.250\,\times {{10}^{13}}\]       

    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 \[=\frac{\text{Power}}{\text{Energy}\,\text{released}}\]                                 \[=\frac{{{10}^{3}}}{200\times 1.6\times {{10}^{-13}}}\]                                 \[=3.125\times {{10}^{13}}\]


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