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Q.

A compound is formed by elements A and B. The crystalline cubic structure has the A atoms at the corners of the cube and B atoms at the body centre. The simplest formula of the compound is

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a

A8B4

b

AB

c

A6B

d

AB6

answer is A.

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Detailed Solution

Atoms are present in the corners of cube = A
Atoms present at body centre = B.
We know that a cubic unit cell has 8 corners. Therefore contribution of each atom A at the corner = 18. Since number of atoms per unit cell is 8, therefore total contribution = 8×18=1. We also know that atoms in the body centre, therefore nurnber of atoms of B per unit cell = 1. Thus formula of the compound is AB.

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