Solid State Question 283

Question: First three nearest neighbour distances for body centred cubic lattice are respectively:

Options:

A) $ \sqrt{2}a,a,\sqrt{3}a $

B) $ \frac{a}{\sqrt{2}},a,\sqrt{3}a $

C) $ \frac{\sqrt{3}a}{2},a,\sqrt{2}a $

D) $ \frac{\sqrt{3}a}{2},a,\sqrt{3}a $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ AB=\frac{\sqrt{3}a}{2} $ (nearest) AC = a (next - nearest) $ CD=\sqrt{2}a $ (next - next - nearest)