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MHT CET · Chemistry · Solid State

Find the radius, of metal atom in bcc unit cell having edge length \(450 \mathrm{pm}\).

  1. A \(225.04 \mathrm{pm}\)
  2. B \(194.85 \mathrm{pm}\)
  3. C \(159.08 \mathrm{pm}\)
  4. D \(99.05 \mathrm{pm}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(194.85 \mathrm{pm}\)

Step-by-step Solution

Detailed explanation

For bcc unit cell, \(4 \mathrm{r}=\sqrt{3} \mathrm{a}\)
\(\therefore \quad \mathrm{r}=\frac{\sqrt{3} \mathrm{a}}{4}=\frac{1.732 \times 450}{4}=194.85 \mathrm{pm}\)