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Diamond has face-centred cubic lattice. There are two atoms at `(0, 0, 0)` and `((a)/(4), (a)/(4), (a)/(4))` coordinates. The ratio of the carbon-carbon bond distance to the edge of the unit cell isA. `sqrt(3/16)`B. `sqrt(1/4)`C. `1/4`D. `1/sqrt2`

Answer» Correct Answer - A
Carbon atoms are at corners and are at alternate corners.So from geometry
`sqrt3(a/2)1/2=2r`
So required ratio`=(2r)/a=sqrt3/4=sqrt(3/16)`


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