If 'a' stands for the edge length of...

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 in these systems will be ______.

A

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

B

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

C

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

D

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

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The correct Answer is:

C

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