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An ionic solid crystallizes as rock salt structure (NaCl) and the edge length of fcc unit cell having rock salt structure is 508 pm. If the radius of cation is 110 pm, then radius of the anion is

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144 pm

288 pm

398 pm

618 pm

answer is A.

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Detailed Solution

a (FCC) = 508 pm; $R_{C} = 110 p m$
R (anion) = ?
We can say $2 (R_{c} + R_{a}) = a$ $\Rightarrow R_{c} + R_{a} = \frac{a}{2} = \frac{508}{2} = 254 p m$

$∴ R_{a} = 254 - 110 = 144 p m$

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