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Q.

The correct match is

UnitcellNumber of atoms per unitcell
A) Simple cube1)   4
B) FCC2)   2
C) BCC3)   1

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a

A-1, B-2, C-3

b

A-3, B-1, C-2

c

A-2, B-1, C-3

d

A-2, B-3, C-1

answer is C.

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Detailed Solution

Atoms are only found at the corners of the primitive cubic unit cell. Each atom in the corner is shared by eight adjacent unit cells. So, in total it has 8×18 = 1 atom per unit cell.

An FCC unit cell has atoms at all four corners of the crystal lattice and in the center of all six cube faces. So, in total it has 1×18+ 6 ×12= 4. The Body-Centered Cubic (BCC) unit cell is represented by a cube with an atom on each corner and one in the centre. So, in total it has 1×18+1 = 2. Thus the correct match would be A-3, B-1, and C-2.

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