Question

If a is the length of the side of a cube, the distance between the body-centred atom and one corner atom in the cube will be

• A. $\frac{2}{\sqrt{3}}a$
• B. $\frac{4}{\sqrt{3}}a$
• C. $\frac{\sqrt{3}}{4}a$
• D. $\frac{\sqrt{3}}{2}a$

Answer 1

The correct option is D $\frac{\sqrt{3}}{2}a$

The distance between the body-centred atom and one corner atom is $\frac{\sqrt{3}}{2}a$ i.e., half of the body diagonal.