J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    If the mass defect of \[_{\text{4}}^{\text{9}}\text{X}\]is\[\text{0}\text{.090 u,}\] then binding energy per nucleon is \[\text{(1}\,\text{u}\,\text{=}\,\text{931}\text{.5}\,\text{MeV)}\]

    A) \[\text{9}\text{.315 MeV}\]   

    B) \[\text{ }\!\!~\!\!\text{ 931}\text{.5 MeV}\]

    C) \[\text{ }\!\!~\!\!\text{ 83}\text{.0 MeV}\]    

    D) \[\text{ }\!\!~\!\!\text{ 8}\text{.38 MeV}\]

    Correct Answer: A

    Solution :

     \[\Delta m=0.090\,u\] Number of nucleon \[=9\] \[\therefore \]Binding energy per nucleon \[=\frac{\text{total}\,\text{binding}\,\text{energy}}{\text{number}\,\text{of}\,\text{nucleon}}\] \[\text{=}\frac{\text{ }\!\!\Delta\!\!\text{ m}\,\text{ }\!\!\times\!\!\text{ }\,\text{931}\text{.5}}{\text{number}\,\text{of}\,\text{nucleon}}\] \[=\frac{0.090\times 931.5}{9}=9.315\,MeV\]


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