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:

Options

A. `A_(7)B_(3)`
B. `AB_(3)`
C. `A_(7)B_(24)`
D. `A_(8)B_(21)`

Answer

C

Explanation

Number of A atoms at the corners
`=1//8xx7=7//8`
Number of B atoms at the face - centres
`=1//2xx6=3`
`A:B=7//8:3=7:24`
Molecule formula `=A_(7)B_(24)`