Calculate the radius of metal atom if it forms bcc unit cell having edge length 530 pm .
Calculate the radius of metal atom if it forms bcc unit cell having edge length 530 pm .
- 229.5 pm
- 187.4 pm
- 459.0 pm
- 265.2 pm
Solution
For bcc unit cell, $a=\frac{4 r}{\sqrt{3}}$
$\begin{aligned}
r & =\frac{\mathrm{a} \sqrt{3}}{4}=\frac{530 \times \sqrt{3}}{4}=\frac{530 \times 1.73}{4}=\frac{916.9}{4} \\
\therefore \quad r & =229.5 \mathrm{pm}
\end{aligned}$
Asked in: MHT CET 2024 (04 May Shift 1)
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