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A substance A(X) B(Y) crystallises in a...

A substance `A_(X) B_(Y)` crystallises in a face centred cubic (fcc) lattice in which atoms ‘A’ occupy each corner of the cube and atoms ‘B’ occupy the centres of each face of the cube. Identify the correct composition of the substance `A_(X) B_(Y)` :

A

`AB_(3)`

B

`A_(4)B_(4)`

C

`A_(3)B`

D

Composition cannot be specified.

Text Solution

Verified by Experts

The correct Answer is:
A
Number of A atoms per unit cell =`8times1/8=1`
Number of B atoms per unit cell = `6times1/2=3`
Composition of solid = `AB_(3)`
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