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In the cubic lattice given below, the th...

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`

Text Solution

Verified by Experts

The correct Answer is:
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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