Atoms of metal 'M' form fcc lattice and the atoms of element 'x' occupy all the octahedral voids. Which of the following statements are true for the above solid ?
(A) 4 atoms of 'M' belong to each unit cell
(B) 8 atoms of 'x' belong to each unit cell
(C) Formula of the compound is MX,
(D) 'x' atoms make contact with each other
The correct answer is

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A, D

B, C

A, C

A, B

answer is D.

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Detailed Solution

In the fcc lattice of metal there are four atoms of metal $[(8 \times \frac{1}{8}) + (6 \times \frac{1}{2})]$ . And octahedral voids are four per unit cell. So 'x' atoms are four.

M & X ratio is 1: 1.

And atoms of metal contact each other along the face diagonal, but not ‘X' atoms.

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