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

  • question_answer
    The energy in MeV is released due to transformation of 1 kg mass completely into energy \[(c=3\times {{10}^{8}}m/s)\]                   [Pb. PMT 2003]

    A)            \[7.625\times 10\,MeV\]

    B)            \[10.5\times {{10}^{29}}\,MeV\]

    C)            \[2.8\times {{10}^{-28}}\,MeV\]                                     

    D)            \[5.625\times {{10}^{29}}\,MeV\]

    Correct Answer: D

    Solution :

                       \[E=\Delta m{{c}^{2}}=1\times {{(3\times {{10}^{8}})}^{2}}=9\times {{10}^{10}}J\]                    \[\Rightarrow E=\frac{9\times {{10}^{16}}}{1.6\times {{10}^{-19}}}=5.625\times {{10}^{35}}eV\]\[=5.625\times {{10}^{29}}MeV.\]


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