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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2008

  • question_answer
        The radii of\[N{{a}^{+}}\]and\[C{{l}^{-}}\]ions are 95 pm and 181 pm respectively. The edge length of\[NaCl\]unit cell is

    A)  276pm                                

    B)  138pm

    C)  552 pm                               

    D)  415 pm

    Correct Answer: C

    Solution :

                    \[NaCl\]has fee structure. In fee lattice \[{{r}^{+}}+{{r}^{-}}=\frac{a}{2}\]where a = edge length \[{{r}^{+}}=95pm\text{ }{{r}^{-}}=181pm\] Edge length \[=2{{r}^{+}}+2{{r}^{-}}\] \[=(2\times 95+2\times 181)pm\] \[=90+362=552pm\]


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