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CMC Medical CMC-Medical VELLORE Solved Paper-2009

  • question_answer
    If \[{{M}_{O}}\] is the mass of an oxygen isotope \[_{8}{{O}^{17}},\] \[{{M}_{p}}\]and \[{{M}_{n}}\]are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

    A)  \[\left( {{M}_{O}}-8{{M}_{p}} \right){{c}^{2}}\]

    B)  \[\left( {{M}_{O}}-8{{M}_{p}}-9{{M}_{n}} \right){{c}^{2}}\]

    C)  \[{{M}_{O}}{{c}^{2}}\]

    D)  \[\left( {{M}_{O}}-17{{M}_{n}} \right){{c}^{2}}\]

    Correct Answer: B

    Solution :

                     Binding energy\[BE=({{M}_{nucleus}}-{{M}_{nucleons}}){{c}^{2}}\]\[=({{M}_{O}}-8{{M}_{p}}-9{{M}_{n}}){{c}^{2}}\]


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