SATHEE: The Solid State - Result Question 5

The Solid State - Result Question 5

####5. A solid compound $X Y$ has $N a C l$ structure. If the radius of the cation is $100 p m$ , the radius of the anion $(Y^{-})$ will be :

[2011 M]

(a) $275.1 p m$

(b) $322.5 p m$

(c) $241.5 p m$

(d) $165.7 p m$

Show Answer

Solution:

(c) Radius ratio of $N a C l$ like crystal

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

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

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