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 .
  1. 229.5 pm
  2. 187.4 pm
  3. 459.0 pm
  4. 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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