Three element `A,B,C` crystallize into a cubic solid lattice.Atoms `A` occupy the corners `B` atoms the cube centres and atom `C` the edge .The formula of the compound is

Options

A. ABC
B. `ABC_(2)`
C. `ABC_(3)`
D. `ABC_(4)`

Answer

C

Explanation

Atom A per unit cell `=8xx(1)/(8) =1`
Atom B per unit cell `=1`
Atom C per unit cell `=12xx(1)/(4) =3`
Ration `A:B:C=1:1:3` and the formula is `ABC_(3)`.