Silver crystallises in fcc structure, if edge length of unit cell is $316.5 \mathrm{pm}$. What is the radius…

Silver crystallises in fcc structure, if edge length of unit cell is $316.5 \mathrm{pm}$. What is the radius of silver atom?
  1. $137.04 \mathrm{pm}$
  2. $111.91 \mathrm{pm}$
  3. $121.91 \mathrm{pm}$
  4. $158.25 \mathrm{pm}$

Solution

$\mathrm{a}=316.5 \mathrm{pm}$ For fcc unit cell, $r=\frac{a}{2 \sqrt{2}}$ $\therefore r=\frac{316.5 \mathrm{pm}}{2 \times 1.414}=111.91 \mathrm{pm}$

Asked in: MHT CET 2020 (16 Oct Shift 2)

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