A compound formed by two elements `M` and `N`. Element `N` forms ccp and atoms of `M` occupy `1//3rd` of tetrahedral voids. What is the formula of th compound?

Options

A. `Y_(2)Z_(3)`
B. `YZ`
C. `YZ_(3)`
D. `Y_(2)Z`

Answer

A

Explanation

Suppose no. of atom of Z=a
No. of tetrahedral voids `=2a`
No. of atoms of `Y=(1)/(3)xx 2a=(2a)/(3)`
Ratio of atoms of Y and Z `=(2a)/(3) :a=2:3`
Hence, the formula of the compound `=Y_(2)X_(3)`