Question

A solid $ABC$ has $A,B$ and $C$ arranged as below. The formula of solid is

• A. $ABC$
• B. $A{B}_2{C}_2$
• C. $A_{2}BC$
• D. $A{B}_8{C}_2$

Answer 1

Answer: (A)

$A\to$ present at body centre in given figure
So, its number $=1\times 1=1$ (contributed completely) $\to A$
$B\to$ present at corners $=\underset{(\text{ Total atom })}{8}\times \underset{\text{(Contribution)}}{\frac{1}{8}}\to B$
$C\to$ Present at two opposite face $\to \underset{\text{(Total 2atomsat face) <br/> }}{2}\times \underset{\text{(Contribution at each face)}}{\frac{1}{2}}=1\to C$
So, formula $ABC$