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In the cubic lattice given below, the three distances between the atoms `A-B, A-C`, and `A-G` are, respectively, A. `a, sqrt2a, sqrt3a`B. `a, sqrt3a, sqrt2a`C. `(a)/(2), (a)/(sqrt2), (sqrt3a)/(2)`D. `a, (sqrt3a)/(2), sqrt2a` |
Answer» Correct Answer - A 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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