If `'a'` stands for the edge length of the cubic systems: simple cubic,body centred cubic and face centred cubic then the ratio of radii of the spheres inthese systems will be respectively,

Options

A. `1/2a:sqrt(3)/2a:sqrt(2)/2a`
B. `1a:sqrt(3)a:sqrt(2)a`
C. `1/2a:sqrt(3)/4a:1/(2sqrt(2))a`
D. `1/2a:sqrt(3)a:1/sqrt(2)a`

Answer

C

Explanation

The ratios of the radii in the three cubic systems is :
`1/2a:(sqrt(3)a)/4:1/(2sqrt(2))a`