In a compound ,atoms of element Y from ccp lattice and those of element X occupy 2/3rd 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)`