question_answer

If a is the length of the side of a cube, the distance between the body centered atom and one corner atom in the cube will be                        [AIPMT 2014]

A) \[\frac{2}{\sqrt{3}}a\]

B) \[\frac{4}{\sqrt{3}}a\]

C) \[\frac{\sqrt{3}}{4}a\]

D) \[\frac{\sqrt{3}}{2}a\]

Correct Answer: D

Solution :

[d] In bcc, 2 atoms are present. One atom lie at the centre of cube while other lies at the corner of the cube. Hence, the    distance between the body centered and one corner atom is half of the body diagonal, i.e., \[\frac{\sqrt{3}}{2}a.\]