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The relationship between atomic radius (...

The relationship between atomic radius (r) and the edge length 'a' of a body centred cubic unit cell is:

A

`r = a/2`

B

`r = sqrt(a/2)`

C

`r = (sqrt3)/(4) a`

D

`r = (3a)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
In bcc : The atoms at the body diagonal touch each other.
So, `sqrt(3a) = 4r`
` rArr a = (4)/(sqrt3) r`
` therefore r = (sqrt3)/(4) a`
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