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MHT CET · Chemistry · Solid State

The edge length of fcc type unit cell of copper having atomic radius \(127.6 \mathrm{pm}\) is equal to

  1. A \(295 \mathrm{pm}\)
  2. B 361 pm
  3. C \(331 \mathrm{pm}\)
  4. D \(378 \mathrm{pm}\)
Verified Solution

Answer & Solution

Correct Answer

(B) 361 pm

Step-by-step Solution

Detailed explanation

For fcc type unit cell
\(\mathrm{r}=\frac{\mathrm{a}}{2 \sqrt{2}} \quad \therefore \mathrm{a}=\mathrm{r}(2 \sqrt{2})=127.6(2 \sqrt{2})\)\(=360.85 \approx 361 \mathrm{pm}\)