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Q.

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound is

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a

A2B

b

AB2

c

A2B2

d

A2B5

answer is D.

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Detailed Solution

Number of effective A atoms
= 8 corners x 1/ 8 per corner atom share
= 1 atoms/unit cell
Number of atoms on faces of a cube = 6 atoms
If one B atom is missing from one face, number of B atoms left = 5
Number of effective ,B atoms = 5 faces x 1/2per face atom
share =52per unit cell
The formula of the compound is A2B5.

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