NEET Chemistry NEET PYQ-The Solid State

A compound formed by elements A and B crystallises in the cubic structure where A atoms are at the comers of a cube and B atoms are at the face centres. The formula of die compound is: [AIPMT 2000]

A) \[{{A}_{2}}{{B}_{2}}\]

B) \[A{{B}_{3}}\]

C) AB

D) \[{{A}_{3}}B\]

Correct Answer: B

Solution :

[b] A atoms are at corners of a cube

So, the number of A atoms per unit cell \[=8\times \frac{1}{8}=1\].

Similarly, B atoms are present at face centres of a cube.

So, the number of S atoms per unit cell \[=6\times \frac{1}{2}\].

Hence, the compound is \[A{{B}_{3}}\]