The Solid State - Result Question 5

####5. A solid compound $X Y$ has $NaCl$ structure. If the radius of the cation is $100 pm$, the radius of the anion $(Y^{-})$will be :

[2011 M]

(a) $275.1 pm$

(b) $322.5 pm$

(c) $241.5 pm$

(d) $165.7 pm$

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Solution:

  1. (c) Radius ratio of $NaCl$ like crystal

$=\frac{r^{+}}{r^{-}}=0.414$

$r^{-}=\frac{100}{0.414}=241.5 pm(r^{+}=100)$



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