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

  • question_answer
    When \[_{92}{{U}^{235}}\]undergoes fission, 0.1% of its original mass is changed into energy. How much energy is released if 1kg of \[_{92}{{U}^{235}}\]undergoes fission [MP PET 1994; MP PMT/PET 1998; BHU 2001;  BVP 2003]

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

    B)            \[9\times {{10}^{11}}J\]

    C)            \[9\times {{10}^{12}}J\]  

    D)            \[9\times {{10}^{13}}J\]

    Correct Answer: D

    Solution :

                       \[E=\Delta m{{c}^{2}},\ \Delta m=\frac{0.1}{100}={{10}^{-3}}kg\]                    \[\therefore E={{10}^{-3}}\times {{(3\times {{10}^{8}})}^{2}}={{10}^{-3}}\times 9\times {{10}^{16}}=9\times {{10}^{13}}J\].


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