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Q.

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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a

144 pm

b

288 pm

c

398 pm

d

618 pm

answer is A.

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Detailed Solution

a (FCC) = 508 pm;   RC=110 pm
R (anion) = ?
We can say  2(Rc+Ra)=a   ⇒Rc+Ra=a2=5082=254  pm 

∴  Ra=254−110=144pm
 

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