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

  • 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 (c is the velocity of light)              [CBSE PMT 2004]

    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 :

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


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