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JEE Main & Advanced AIEEE Solved Paper-2005

  • question_answer
    Which one of the following cyano complexes would exhibit the lowest value of paramagnetic behaviour? (Atomic number\[Cr=24,Mn=25,\text{ }Fe=26,\] \[Co=27\])     AIEEE  Solved  Paper-2005

    A) \[{{[Co{{(CN)}_{6}}]}^{3-}}\]   

    B)        \[{{[Fe{{(CN)}_{6}}]}^{3-}}\]      

    C)        \[{{[Mn{{(CN)}_{6}}]}^{3-}}\]      

    D)        \[{{[Cr{{(CN)}_{6}}]}^{3-}}\]

    Correct Answer: A

    Solution :

        Hybridisation Unpaired elctrons Magnetic moment
      \[{{[Co{{(CN)}_{6}}]}^{3-}}\] \[{{d}^{2}}s{{p}^{3}}\] 0 0
      \[{{[Fe{{(CN)}_{6}}]}^{3-}}\] \[{{d}^{2}}s{{p}^{3}}\] 1 \[\sqrt{3}\,BM\]
      \[{{[Mn{{(CN)}_{6}}]}^{3-}}\] \[{{d}^{2}}s{{p}^{3}}\] 2 \[\sqrt{8}\,BM\]
      \[{{[Cr{{(CN)}_{6}}]}^{3-}}\] \[{{d}^{2}}s{{p}^{3}}\] 3 \[\sqrt{15}\,BM\]
    \[{{[Co{{(CN)}_{6}}]}^{3-}}\]is diamagnetic in nature. So, out of four, only three molecules show paramagnetism. Thus least paramagnetism is in (b).


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