If 'a' stands for the edge length of the cubic systems: simple cubic, body centered cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively. 2. 

Options

A. `(a)/(2):(asqrt3)/(2):(asqrt2)/(2)`
B. `a:sqrt3a:sqrt2a`
C. `(a)/(2):(asqrt3)/(4):(a)/(2sqrt2)`
D. `(a)/(2):sqrt3a:(a)/(sqrt2)`

Answer

C

Explanation

Simple cube :`a=2r,r=(a)/(2),BC C:a=(4r)/(sqrt3),r=(sqrt3a)/(4), FC C:a=2sqrt2r,r=(a)/(2sqrt2)`