AFMC AFMC Solved Paper-2001

  • question_answer
    The energy released by fission of one atom of \[_{92}{{U}^{235}}\] is 200 MeV the number of fissions required per second to produce a power of 1 kW is :

    A) \[3.125\times {{10}^{9}}\]                           

    B) \[3.125\times {{10}^{12}}\]

    C) \[3.125\times {{10}^{13}}\]         

    D) \[3.125\times {{10}^{11}}\]

    Correct Answer: C

    Solution :

    Energy released by fission of an atom of \[_{\text{92}} & {{\text{U}}^{\text{235}}}\]is \[\text{E = 200}\,\,\,\text{MeV}\text{.}\] We know that \[1\,eV=1.6\times {{10}^{-19}}\,J\] \[\therefore \]   \[E=200\times {{10}^{6}}\times 1.6\times {{10}^{-19}}\,\text{J}\] \[=3.2\times {{10}^{-11}}\,J\] Hence, \[3.2\times {{10}^{-11}}\,J\]energy is released in one fission. So, no. of fissions required to produce a  power of 1 kW i.e., \[=\frac{1000}{3.2\times {{10}^{-11}}}=3.125\times {{10}^{13}}\]


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