A compound of ‘A’ and ‘B’ crystallizes in a cubic lattice in which the ‘A’ atoms occupy the lattice points at the corners of the cube. The ‘B’ atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is

The A atom occupy the lattice point at the corners of the cube. There are 8 corners in a unit cell Each atom contributes 1 8 to the cube. Number of X atoms = 1 8 1 8 x The B occupy the center of each FCC of the cube There are 6 face centers. Each atom contributes 1 2 to the cube. Number of B atoms = 1 6 3 2 x Hence the formulae of the compound 3 AB Hence the correct answer is option (c)