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Q. In a solid $AB . A$ atoms are in $ccp$ arrangement and B atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the resultant stoichiometry of the compound is $A_{x} B_{y}$. The value of $x$ is ____. [nearest integer]

JEE MainJEE Main 2022The Solid State

Solution:

$A \rightarrow 4-\left(2 \times \frac{1}{2}\right)=3$
$B \rightarrow 12 \times \frac{1}{4}+1 \times 1=4$
So, Compound is $A _{3} B _{4}$
The value of $x$ is $3$ .