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Q.

How many number of atoms are there in a cubic unit cell having one atom on each corner and two atoms on each body diagonal of cube?

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a

8

b

6

c

4

d

9

answer is D.

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Detailed Solution

There are four body diagonals. Atoms on the body diagonals are not shared by any other unit cell. Contribution by atoms on corners =8×18=1 and Contribution by atoms on body diagonal =2×4=8Hence, total number of atoms =8+1=9
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