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In the cubic lattic given below, the thr...

In the cubic lattic given below, the three distances between the atoms A-B,A-C, and A-G are, respectively.

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

i. Edge length =AB=AD=BC=CD=a
ii. `AC=sqrt((AB^(2))+(BC)^(2))=sqrt(a^(2)+a^(2))=sqrt(2)a`
iii. `AG=sqrt((AC^(2))+(CG)^(2))=sqrt(2a^(2)+a^(2))=sqrt(3)a`
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