Question

The maximum radius of a sphere that can be fitted in the octahedral hole of cubical closed packing of the sphere of radius $r$

• A. 0.732 r
• B. 0.414 r
• C. 0.225 r
• D. 0.155 r

Answer 1

The correct option is (B)

0.414 r

From the radius ratio rule

For octahedral voids

$\frac{r_s}{r}=0.414$

where $4r_s=$ maximum radius of sphere

$r=$ radius of sphere

$r_s=0.414r$

Hence, The maximum radius of sphere that can be fitted in the octahedral hole of cubical closed packing of sphere of radius $r$ is $0.414r$.