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AMU Medical AMU Solved Paper-2007

  • question_answer
    Which of the following ions has the least magnetic moment?

    A)  \[C{{u}^{2+}}\]                

    B)  \[N{{i}^{2+}}\]

    C) \[C{{o}^{2+}}\]                                 

    D)  \[F{{e}^{2+}}\]

    Correct Answer: A

    Solution :

                     
    Ion Electronic configuration No. of unpaired electrons
    \[C{{u}^{2+}}\] \[{{d}^{9}}\] 1
    \[N{{i}^{2+}}\] \[{{d}^{8}}\] 2
    \[C{{o}^{2+}}\] \[{{d}^{7}}\] 3
    \[F{{e}^{2+}}\] \[{{d}^{6}}\] 4
    Magnetic moment \[(\mu )=\sqrt{n\,(n+2)}\,BM\]                 Here n = number of unpaired electrons.  Magnetic moment of \[C{{u}^{2+}}\],                 \[\mu =\sqrt{1\,(1+2)}\,BM\]                 = 1.73 BM  Magnetic moment of \[N{{i}^{2+}}\],                 \[\mu =\sqrt{2\,(2+2)}\,BM\]                 = 2.84 BM  Magnetic moment of \[C{{o}^{2+}}\],                 \[\mu =\sqrt{3\,(3+2)}\,BM\]                 = 3.86 BM  Magnetic moment of \[F{{e}^{2+}}\],                 \[\mu =\sqrt{4\,(4+2)}\,BM\]                 = 4.90 BM Hence, \[C{{u}^{2+}}\] has only one unpaired electron. Therefore, \[C{{u}^{2+}}\] has least magnetic moment.


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