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BCECE Engineering BCECE Engineering Solved Paper-2014

  • question_answer
     Identify the order in which the spin only magnetic moment (in BM) increases for the following four ions \[\text{I}.\text{ F}{{\text{e}}^{\text{2+}}}\]                                        \[\text{II}\text{.T}{{\text{i}}^{\text{2+}}}\] \[\text{III}\text{.C}{{\text{u}}^{\text{2+}}}\]                                      \[\text{IV}\text{.}{{\text{V}}^{\text{2+}}}\]

    A) \[\text{I,II, IV, III}\]                        

    B) \[\text{IV,I, II, III}\]

    C) \[\text{III,IV, I, II}\]                        

    D) \[\text{III,II, IV, I}\]

    Correct Answer: D

    Solution :

    Magnetic moment \[(\mu )\] is given as\[\mu =\sqrt{n(n+2)}\]where, n is number of unpaired electrons. \[F{{e}^{2+}}:[Ar]3{{d}^{6}};\]number of unpaired electrons = 4 \[T{{i}^{2+}}:[Ar]3{{d}^{2}};\]number of unpaired electrons =2 \[C{{u}^{2+}}:[Ar]3{{d}^{9}};\]number of unpaired electrons = 1 \[{{V}^{2+}}:[Ar]3{{d}^{3}};\]number of unpaired electrons = 3 Hence, the increasing order of magnetic moment is as                               \[C{{u}^{2+}}<T{{i}^{2+}}<{{V}^{2+}}<F{{e}^{2+}}\]


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