Question

# If $$a$$ stands for the edge length of the cubic system : simple cubic, body-centred cubic and face-centred cubic, then the ratio of radii of the spheres in these systems will be respectively.

A
12a:32a:22a
B
1a:3a:2a
C
12a:34a:122a
D
12a:3a:12a

Solution

## The correct option is C $$\dfrac {1}{2}a : \dfrac {\sqrt {3}}{4} a : \dfrac {1}{2\sqrt {2}}a$$Simple cubic unit cell, $$r = a/2$$Body-centred cubic unit cell, $$r = \dfrac {a\sqrt {3}}{4}$$Face-centred cubic unit cell, $$r = \dfrac {a}{2\sqrt {2}}$$.Chemistry

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