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In body-centered cubic lattice given bel...

In body-centered cubic lattice given below, the three distances AB, AC and AA' are

A

`a,sqrt(2)a,(sqrt(3)a)/(2)`

B

`a,(sqrt(3)a)/(2),sqrt(2)a`

C

`(sqrt(3)a)/(2),sqrt(2)a,a`

D

`a,(a)/sqrt(2),(sqrt(3)a)/(2)`

Text Solution

Verified by Experts

i. Edge length `=AB=AD=BC=CD=a`
ii. AC =`sqrt(2)a`
iii. AG (body diagonal) `=sqrt(3)a`
Therefore `A A=AG//2=sqrt(3)/(2)a`
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