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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 inthese systems will be respectively,

A

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

B

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

Text Solution

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The correct Answer is:
C
SC a=2r
BCC `sqrt(3)` a=4r
FCC `sqrt(2) a=4r`
`(a)/(2):sqrt(3a)/(4):sqrt(2a)/(4)`.
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