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IIT JEE Advanced 2010 Paper 2
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© examsnet.com
Question : 22
Total: 57
The packing efficiency of the two-dimensional square unit cell shown below is
39.27%
68.02%
74.05%
78.54%
Validate
Solution:
If R is the radius of the atom, then for the given unit cell,
a = L =
(
2
√
2
R
)
Then area of the square unit cell is
L × L =
(
2
√
2
R
)
2
=
8
R
2
Area of atoms present in one unit cell is
π
R
2
+
4
(
π
R
2
4
)
=
2
π
R
2
Therefore, packing efficiency is
2
π
R
2
8
R
2
× 100 =
π
4
×
100
= 78.54 %
© examsnet.com
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