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Q.

(Unitcell)                                                                            (no of atoms per unitcell) 
 

 Column - 1Column - 2
A)Simple cube1) 4
B)fcc2)2
C)bcc3)1
 ABC
1)231
2)213
3)12
4)123

The correct match is
 

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a

2

b

1

c

3

d

4

answer is C.

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Detailed Solution

detailed_solution_thumbnail

(A) simple cubic unit cell has atoms only at its corner. Each atom at a corner is shared between eight adjacent unit cells.
No. of atoms per unit cell in simple cubic structure =8×18=1 

(B) In case of fcc, atoms are present at corners and face centers.

      No. of atoms per unit cell=6×12+8×18=4

(C) In case of bcc, atoms are present at body center and corners.

      No. of atoms per unit cell= 1×1+8×18=4

Note: 

Atom at the body centers wholly belongs to the unit cell

Each atom at a corner is shared between eight adjacent unit cells.

Each atom at a face center is shared between two adjacent unit cells.

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(Unitcell)                                                                            (no of atoms per unitcell)   Column - 1Column - 2A)Simple cube1) 4B)fcc2)2C)bcc3)1 ABC1)2312)2133)3 124)123The correct match is