KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    The hybridisation and magnetic moment of complex \[[Cr{{({{H}_{2}}O)}_{6}}]\,C{{l}_{2}}\] is

    A) \[s{{p}^{3}}{{d}^{2}},4.89\,BM\]

    B) \[{{d}^{2}}s{{p}^{3}},4.89\,BM\]

    C) \[ds{{p}^{2}},5.89\,BM\]

    D) \[s{{p}^{3}}{{d}^{2}},3.39\,BM\]

    Correct Answer: A

    Solution :

    \[Cr\]is in \[+2\] oxidation state in\[[Cr{{({{H}_{2}}O)}_{6}}C{{l}_{2}}\]. The electronic configuration of
    \[C{{r}^{2+}}\] is \[3{{d}^{4}}4{{s}^{0}}\]
    As \[{{H}_{2}}O\]is a weak field ligand, so pairing will not occur.
    Thus, the hybridisation of \[{{\left[ Cr\left( {{H}_{2}}O \right)6 \right]}^{2+}}\] \[s{{p}^{3}}{{d}^{2}}\]
    Magnetic moment \[=\sqrt{n\left( n+2 \right)}\]
    For this complex, \[n=4\]
    \[\mu =\sqrt{4\left( 4+2 \right)}\]

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