In a face centred cubic lattice, atom `A` occupies the corner positions and atom `B` occupies the face centred positions. If one atom of `B` is missin from one of the face centred points,, the formula of the compound is `:`

Options

A. `A_(2)B_(5)`
B. `A_(2)B`
C. `AB_(2)`
D. `A_(2)B_(3)`

Answer

A

Explanation

Number of atoms of 'A' `=8xx(1)/(8)=1`
Number of atoms of 'B' `=5xx(1)/(2)=(5)/(2)`
`A:B=1:(5)/(2)=2:5`
Simplest formula of the solid `=A_(2)B_(5)`