SATHEE: The Solid State - Result Question 31

The Solid State - Result Question 31

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

(a) $288 p m$

(b) $398 p m$

(c) $154 p m$

(d) $618 p m$

[1996]

Show Answer

Solution:

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

where, $R =$ Radius of anion $Misplaced &$ radius of cation $∴ 508 = 2 \times 100 + 2 R \Rightarrow R = 154 p m$

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