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

  • question_answer
    Energy released in fusion of 1 kg of deuterium nuclei  [RPET 2000]                               

    A)            \[8\times {{10}^{13}}\,J\]

    B)            \[6\times {{10}^{27}}\,J\]

    C)            \[2\times {{10}^{7}}\,KwH\] 

    D)            \[8\times {{10}^{23}}\,MeV\]

    Correct Answer: D

    Solution :

                       Fusion reaction of deuterium is                    \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{2}}{{\to }_{2}}H{{e}^{3}}{{+}_{0}}{{n}^{1}}+3.27\ MeV\]                    So \[E=\frac{6.02\times {{10}^{23}}\times {{10}^{3}}\times 3.27\times 1.6\times {{10}^{-13}}}{2\times 2}\]\[=7.8\times {{10}^{13}}J\]                    \[=8\times {{10}^{13}}J\].


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