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

The edge length of fcc type unit cell of copper having atomic radius $127.6 \mathrm{pm}$ is equal to
  1. $295 \mathrm{pm}$
  2. 361 pm
  3. $331 \mathrm{pm}$
  4. $378 \mathrm{pm}$

Solution

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

Asked in: MHT CET 2020 (14 Oct Shift 1)

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