Question

An element has a body centered cubic (bcc) structure with a cell edge of 288 pm. The atomic radius is:

• A. $\frac{4}{\sqrt{3}}\times 288pm$
  
• B. $\frac{\sqrt{3}}{4}\times 288pm$
  
• C. $\frac{\sqrt{2}}{4}\times 288pm$
  
• D. $\frac{4}{\sqrt{2}}\times 288pm$
  

Answer 1

The correct option is B $\frac{\sqrt{3}}{4}\times 288pm$


For bcc the relation between edge length and radius is given by
$\sqrt{3}a=4r$
$\Rightarrow r=\frac{\sqrt{3}}{4}\times 288pm$