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

3

Explanation

Number of atoms `A` per unit cell
`=8xx(1)/(8)=1`
Number of atoms`B` per unit cell
`=1xx1=1`
Number of atoms `C` per unit cell
`=12xx(1)/(4)=3`
Therefore the empirical formula of the compound will be `ABC_(3)`.