A binary solid`(A^(+) B^(-))` has a zinc blende stracture with B ions constituting the lattice and `A^(+)` inos occupying `25%` of the terahedral holes. The formula of the solid is

Options

A. ` AB`
B. `A_(2)B`
C. `AB_(2)`
D. `AB_(4)`

Answer

C

Explanation

Suppose no . Of `B^(-)` ions =N `:.` no. of tetrahedral holes =2N
As `25%` tetrahedral holes are occupied by `A^(+)` ions.
`:." no. of" A^(+) "inos" =(2N)/(4) =(N)/(2)`
`:."Ratio of " A^(+) : B^(-) =N/2: N rArr 1:2`
`:.` the formula is `AB_(2)`