Solid State Question 93

Question: The first three nearest neighbor distance for primitive cubic lattice are respectively (edge length of unit cell = a):

Options:

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

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

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

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

Show Answer

Answer:

Correct Answer: A

Solution:

[a]
$ AB=a $ (Nearest) $ BD=\sqrt{2}a $ (Next-nearest) $ CE=\sqrt{3}a $ (Next-next-nearest)