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Classification of solids and crystal lattices
JEE Advanced level
One or more correct options
Difficulty 3 of 3
ss165
A metal has atomic radius
150
pm
. Taking
2
=
1.414
and
3
=
1.732
, which statements are correct?
A
The unit cell edge in the simple cubic form is
300
pm
.
B
The unit cell edge in the bcc form is
375
pm
.
C
The unit cell edge in the fcc form is
424
pm
.
D
The volume of the fcc cell is about 2.83 times that of the simple cubic cell.
Answer: A, C, D
sc:
a
=
2
r
=
300
pm
. bcc:
a
=
4
r
/
3
=
346.4
pm
, not 375 pm. fcc:
a
=
2
2
r
=
424.2
pm
. Volume ratio
=
(
424.2/300
)
3
=
2.83
.
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