WB JEE Medical WB JEE Medical Solved Paper-2007

  • question_answer
    The correct order of radii is

    A)  \[N<Be<B\]

    B)  \[{{F}^{-}}<{{O}^{2-}}<{{N}^{3-}}\]

    C)  \[Na<Li<K\]

    D)  \[F{{e}^{3+}}<F{{e}^{2+}}<F{{e}^{4+}}\]

    Correct Answer: B

    Solution :

                     These are isoelectronic species and their radii decreases with increasing their atomic number due to increasing effective nuclear charge \[({{Z}_{eff}}).\] \[{{Z}_{eff}}=Z-\sigma \]where,  \[{{Z}_{eff}}=\] effective   nuclear  charge, Z = atomic   number   and  \[\sigma =\] screening constant. For \[{{F}^{-}},{{O}^{2-}}\]and \[{{N}^{3-}},\] the value ofcis constant due to equal number of electrons. So order of \[{{Z}_{eff}}\] is \[{{F}^{-}}>{{O}^{2-}}>{{N}^{3-}}\] hence, order of radii \[={{F}^{-}}<{{O}^{2-}}<{{N}^{3-}}\left( radii\propto \frac{1}{{{Z}_{eff}}} \right).\]


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