The Solid State - Result Question 27
####27. A compound formed by elements $X$ and $Y$ crystallizes in a cubic structure in which the $X$ atoms are at the corners of a cube and the $Y$ atoms are at the face-centres. The formula of the compound is
[2004]
(a) $X Y_3$
(c) $X Y$
(b) $X_3 Y$
(d) $X Y_2$
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Solution:
- (a) For the given cubic structure,
No. of $X$ atoms at the corners $=8 \times \frac{1}{8}=1$
No. of $Y$ atoms at the face-centres $=6 \times \frac{1}{2}=3$
$\therefore$ Formula of the compound $=X Y_3$
