1.

In the cubic lattice given below, the three distances between the atoms `A-B, A-C`, and `A-G` are, respectively, A. `(a)/(2),(a)/(sqrt(2)),(sqrt(3a))/(2)`B. `a,sqrt(3)a,sqrt(2)a`C. `a,sqrt(2)a,sqrt(3)a`D. `a,(sqrt(3)a)/(2),sqrt(2)a`

Answer» Correct Answer - c
Edge length `=AB=AD=BC=CD=a`
`:. AC=sqrt(AB^(2)+BC^(2))`
`=sqrt(a^(2)+a^(2))=sqrt(2)a`
`:. AG=sqrt(AC^(2)+CG^(2))`
`=sqrt(2a^(2)+a^(2))=sqrt(3)a`


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