In a compound, atoms of the element Y form ccp lattice and those of the element X occupy `2//3 rd` of tetrahedral voids. The formula of the compound will be :

Options

A. `A_(3)B_(4)`
B. `A_(2)B_(4)`
C. `A_(3)B_(2)`
D. `A_(2)B_(3)`

Answer

A

Explanation

Let number of atoms of A used in packing = n
Number of tetrahedral voids = 2n
Number of atoms of `B = (2)/(3)xx2n = (4n)/(3)`
Formula of the compound `A : B = n : (4)/(3) n = 3 : 4`
Formula of compound `= A_(3)B_(4)`