JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Nucleus, Nuclear Reaction

  • question_answer
    If the energy released in the fission of one nucleus is 200 MeV. Then the number of nuclei required per second in a power plant of 16 kW will be                    [KCET (Engg.) 2000; CPMT 2001; Pb. PET 2002]

    A)            \[0.5\times {{10}^{14}}\]

    B)            \[0.5\times {{10}^{12}}\]

    C)            \[5\times {{10}^{12}}\]    

    D)            \[5\times {{10}^{14}}\]

    Correct Answer: D

    Solution :

                       Energy released in the fission of one nucleus = 200 MeV                    \[=200\times {{10}^{6}}\times 1.6\times {{10}^{-19}}J=3.2\times {{10}^{-11}}J\]                    \[P=16KW=16\times {{10}^{3}}Watt\]                    Now, number of nuclei required per second                    \[n=\frac{P}{E}=\frac{16\times {{10}^{3}}}{3.2\times {{10}^{-11}}}=5\times {{10}^{14}}\].


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