MGIMS WARDHA MGIMS WARDHA Solved Paper-2007

  • question_answer
    What is binding energy in \[_{5}^{11}\] B nucleus, if mass is 0.08181 amu?

    A) \[1.2\times {{10}^{-4}}erg/nucleus\]

    B) \[8.2\times {{10}^{-4}}erg/nucleus\]

    C) \[10.2\times {{10}^{-4}}erg/nucleus\]

    D) \[1.9\times {{10}^{-4}}erg/nucleus\]

    Correct Answer: A

    Solution :

                     \[1\text{ }amu=1.66\times {{10}^{-24}}g\] \[E=m{{c}^{2}}\] Here, m = mass \[c=velocity\text{ }of\text{ }light\text{ }(3\times {{10}^{10}}cm/s)\] \[=1.66\times {{10}^{-24}}g\times {{(3\times {{10}^{10}}cm/s)}^{2}}\] \[=1.49\times {{10}^{-3}}ergs\] Binding energy = mass defect\[\times E\] \[=1.2\times {{10}^{-4}}erg/nucleus\] Note: It is per nucleus and not per nucleon.


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