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Question: Answered & Verified by Expert
Calculate the radius of metal atom in bcc unit cell having edge length $287 \mathrm{pm}$.
ChemistrySolid StateMHT CETMHT CET 2023 (13 May Shift 1)
Options:
  • A $124.27 \mathrm{pm}$
  • B $143.51 \mathrm{pm}$
  • C $101.45 \mathrm{pm}$
  • D $57.4 \mathrm{pm}$
Solution:
2850 Upvotes Verified Answer
The correct answer is: $124.27 \mathrm{pm}$
For bcc unit cell, $4 \mathrm{r}=\sqrt{3} \mathrm{a}$
$$
\therefore \quad \mathrm{r}=\frac{\sqrt{3}}{4} \mathrm{a}=\frac{1.732 \times 287}{4}=124.27 \mathrm{pm}
$$

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