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Manipal Medical Manipal Medical Solved Paper-2007

  • question_answer
    \[{{M}_{p}}\]denotes the mass of a proton and\[{{M}_{n}}\]that of a neutron. A given nucleus, of binding energy B, contains Z protons and N neutrons. The mass M(N, Z) of the nucleus is given by

    A)  \[M(N,Z)=N{{M}_{n}}+Z{{M}_{p}}-B{{c}^{2}}\]

    B)  \[M(N,Z)=N{{M}_{n}}+Z{{M}_{p}}+B{{c}^{2}}\]

    C)  \[M(N,Z)=N{{M}_{n}}+Z{{M}_{p}}-B/{{c}^{2}}\]

    D)  \[M(N,Z)=N{{M}_{n}}+Z{{M}_{p}}+B/{{c}^{2}}\]

    Correct Answer: C

    Solution :

     Binding energy of a nucleus containing N neutrons and Z protons is \[B=[N{{M}_{n}}+Z{{M}_{p}}-M(N,Z)]{{c}^{2}}\] \[\Rightarrow \] \[\frac{B}{{{c}^{2}}}=N{{M}_{n}}+Z{{M}_{p}}-M(N,Z)\] \[\Rightarrow \] \[M(N,Z)=N{{M}_{n}}+Z{{M}_{p}}-B/{{c}^{2}}\]


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