Question

In a face centered cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centers. One of the B atoms missing from one of the face in unit cell. The simplest formula of compounding is:
A. `AB_(3)`
B. `A_(8)B_(5)`
C. `A_(2)B_(5)`
D. `AB_(2//5)`

Answer 1

Correct Answer - C
`Ato"corners"=8xx(1)/(8)=1`
`Bto"at 5 face centers"=5xx(1)/(2)=(5)/(2)`
`A : B=1:(5)/(2) = 2:5`
` :. A_(2)B_(5)`