CET Karnataka Medical CET - Karnataka Medical Solved Paper-2013

  • question_answer
    The binding energy/nucleon of deuteron \[{{(}_{1}}{{H}^{2}})\]and the helium atom \[{{(}_{2}}H{{e}^{4}})\] are \[1.1MeV\]and \[7MeV\]respectively. If the two deuteron atoms fuse to form a single helium atom, then the energy released is

    A) \[26.9\text{ }MeV\]

    B)  \[25.8\text{ }MeV\]

    C)  \[23.6\text{ }MeV\]

    D)  \[12.9\text{ }MeV\]

    Correct Answer: C

    Solution :

    : Binding energy of deuteron \[{{(}_{1}}{{H}^{2}})\] \[=2\times 1.1MeV=2.2MeV\] Binding energy of helium atom \[{{(}_{2}}H{{e}^{4}})\] \[=4\times 7MeV=28MeV\] \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{2}}{{\to }_{2}}H{{e}^{4}}+Energy\,released\] Energy released = BE of helium \[-2\times \] BE of deuteron \[=28MeV-2\times 2.2MeV\] \[=28MeV-4.4Me=23.6MeV\]


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