Solid State Question 6

Question: A solid has a ‘bcc’ structure. If the distance of nearest approach between two atoms is $ 1.73\overset{{}^\circ }{\mathop{A}} $ , the edge length of the cell is

Options:

A) 314.20 pm

B) 1.41 pm

C) 200 pm

D) 216 pm

Show Answer

Answer:

Correct Answer: C

Solution:

[c] For bcc structure $ d=\frac{\sqrt{3}a}{2} $ where d’ = distance between two atoms a = edge length $ 1.73=\frac{\sqrt{3}}{2}a $

$ a=\frac{2\times 1.73}{\sqrt{3}}=2\overset{{}^\circ }{\mathop{A}}=200pm $