Question

The volume of a unit cell of a metallic crystal of bcc type is $8.4\times {16}^{-23}c{m}^3$. The volume unit cell occupied by 10 atoms in the crystalline structure is:

• A. $4.2\times {10}^{-22}c{m}^3$
• B. $3.12\times {10}^{-22}c{m}^3$
• C. $2.856\times {10}^{-23}c{m}^3$
• D. $2.856\times {10}^{-22}c{m}^3$

Answer 1

The correct option is A $4.2\times {10}^{-22}c{m}^3$

$Bcc$ unit cell has $2$ atoms.

So $\because$ Volume occupied by $2$ atoms = $8.4\times {10}^{-23}c{m}^3$

$\therefore$ volume occupied by $1$ atom = $\frac{8.4\times {10}^{-23}c{m}^3}{2}$

$\therefore$ volume occupied by $10$ atom = $4.2\times {10}^{-23}\times 10=4.2\times {10}^{-22}c{m}^3$

Therefore, the correct option is A.