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

  • question_answer
    The binding energy per nucleon of deuterium and helium atom is 1.1 MeV and 7.0 MeV. If two deuterium nuclei fuse to form helium atom, the energy released is           [Pb. PMT 2001; CPMT 2001; AIEEE 2004]

    A)            19.2 MeV                               

    B)            23.6 MeV

    C)            26.9 MeV                               

    D)            13.9 MeV

    Correct Answer: B

    Solution :

                       \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{2}}{{\to }_{2}}H{{e}^{4}}+\]energy                    Binding energy of a \[{{(}_{1}}{{H}^{2}})\]deuterium nuclei                    \[=2\times 1.1=2.2\ MeV\]                    Total binding energy of two deuterium nuclei                    \[=2.2\times 2=4.4\ MeV\]                    Binding energy of a \[{{(}_{2}}H{{e}^{4}})\]nuclei \[=4\times 7=28\ MeV\]                    So, energy released in fusion \[=28-4.4=23.6\ MeV\]


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