Question

If a represents the edge length of the cubic systems, i.e. simple cubic, body centred cubic and face centered cubic, then the ratio of the radii of the sphere in these system will be:-

Options

• `1/2 a : sqrt(3)/2 : sqrt(2)/2 a`

• `1a : sqrt(3)a : sqrt(2)a`

• `1/2 a : sqrt(3)/4 : 1/(2sqrt(2)) a`

• `1/2 a : sqrt(3)a : 1/sqrt(2)`

Answer 1

`1/2 a : sqrt(3)/4 : 1/(2sqrt(2)) a`

Explanation:

The ratio of the radii in the three cubic system is `1/2a : sqrt(3)/4 a : 1/(2sqrt(2))a`.