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Q.

A substance AxBy crystallises in a face centred cubic (fcc) lattice in which atoms 'A' occupy each corner of the cube and atoms 'B' occupy the centres of each face of the cube. Identify the correct composition of the substance AxBy:

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a

AB3

b

A4B3

c

A3B

d

composition cannot be specified

answer is A.

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Detailed Solution

Effective number of corner atom (A)=8×18=1=XEffective number of face centred atom (B) =12×6=3=YThus, composition of substance =AB3
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