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1. ⇒ (MHT CET 2023 9th May Morning Shift )

A compound made of elements $A$ and $B$ form fcc structure. Atoms of A are at the corners and atoms of B are present at the centres of faces of cube. What is the formula of the compound?

A. $AB$

B. ${AB}_{2}$

C. ${AB}_{3}$

D. $A_{2} B$

Correct Option is (C)

Atom	Location	Contribution to a unit cell
A	Corners of cube	$\frac{1}{8} \times 8 = 1$
B	Centres of faces	$\frac{1}{2} \times 6 = 3$
Ratio	$A : B = 1 : 3$
Formula	${AB}_{3}$

⇒Solid State