The Solid State - Result Question 31

####31. The edge length of a face centred unit cubic cell is $508 pm$. If the radius of the cation is $100 pm$, the radius of the anion is

(a) $288 pm$

(b) $398 pm$

(c) $154 pm$

(d) $618 pm$

[1996]

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Solution:

  1. (c) For $f c c$, the edge length of the unit cell, $a=r+2 R+r$

where, $R=$ Radius of anion $& r=$ radius of cation $\therefore \quad 508=2 \times 100+2 R \Rightarrow R=154 pm$



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