Calculate the edge length of fcc unit cell if radius of metal atom is 139 pm .

Calculate the edge length of fcc unit cell if radius of metal atom is 139 pm .
  1. $2.78 \times 10^{-8} \mathrm{~cm}$
  2. $3.21 \times 10^{-8} \mathrm{~cm}$
  3. $3.93 \times 10^{-8} \mathrm{~cm}$
  4. $6.95 \times 10^{-8} \mathrm{~cm}$

Solution

In $\mathrm{FCC}, \sqrt{2} \mathrm{a}=4 \mathrm{r}$ $r=\frac{a}{2 \sqrt{2}}$ $\mathrm{a}=2 \times \sqrt{2} \times 139 \mathrm{pm}=3.93 \times 10^{-8} \mathrm{~cm}$

Asked in: MHT CET 2024 (02 May Shift 1)

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