Solid State Question 204

Question: The edge length of face centred unit cubic cell is $ 508pm. $ If the radius of the cation is $ 110pm, $ the radius of the anion is

[CBSE PMT 1998]

Options:

A) $ 285pm $

B) $ 398pm $

C) $ 144pm $

D) $ 618pm $

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Answer:

Correct Answer: C

Solution:

Distance between centres of cation and anion $ =\frac{d}{2}=\frac{508}{2}=254pm $
$ r _{c}+r _{a}=254pm $ or $ 110+r _{a}=254 $ or $ r _{a}=144pm $