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

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 respectively,

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`

Text Solution

Verified by Experts

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