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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

`1/2 a : sqrt3/4 a : 1/(2*sqrt2)a`

B

`1/2 a: sqrt3 a: 1/sqrt2 a`

C

`1/2a : sqrt3/2a : sqrt2/2 a `

D

`1a : 3a : sqrt2 a`.

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The correct Answer is:
A
Ratio of radii of spheres in simple in simple cubic, body centred cubic and face centred cubic is,
`a/2 : sqrt3/4a : (sqrt2a)/4 or a/2 : sqrt3/4a : a/(2sqrt2)`
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