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A compound formed by elements X and Y crystallizes in a cubic structure in which the X atoms are at the corners of a cube and the Y atoms are at the face-centres. The formula of the compound is

1. XY3
2. X3Y
3. XY
4. XY2

Correct answer: XY3

Solution

In a cubic structure, atoms at the corners contribute 1/8 each, and there are 8 corners, so X contributes 1 atom. Atoms at the face-centres contribute 1/2 each, and there are 6 faces, so Y contributes 3 atoms. Thus, the formula is XY3.

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