Q.
Match the following columns.
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a
A - 1 ; B - 3 ; C - 2
b
A - 2 ; B - 3 ; C - 1
c
A - 2 ; B - 1 ; C - 3
d
A - 3 ; B - 2 ; C - 1
answer is B.
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Detailed Solution
(A). A atoms are at the corners and face centers, so number of A atoms =8×18+12×6=1+3=4 corner atoms Face center atoms B atoms are at the edge centers and body center, so number of B atoms per unit cell =12×14+1=3+1=4 Ratio of A and B = 4 : 4 = 1:1 so formula is AB.(B).A atoms are at the corners, so number of A atoms per unit cell =8×18=1 atom. B atoms are at the body diagonals, so number of B atoms per unit cell = 4 x 1 = 4. ∴ Formula of molecule = AB4.(C). When A atoms are at the corners and B atoms are at face centers, the formula is AB3.
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