Edge length of unit cell of BCC structure is $352 \mathrm{pm}$. What is radius of the atoms?

Edge length of unit cell of BCC structure is $352 \mathrm{pm}$. What is radius of the atoms?
  1. 176.3 pm
  2. 304.8 pm
  3. 152.4 pm
  4. 252.4 pm

Solution

For BCC unit cell, $\begin{aligned} & 4 \mathrm{r}=\sqrt{3} \mathrm{a} \\ & \mathrm{r}=\frac{\sqrt{3} \mathrm{a}}{4}=\frac{1.732 \times 352}{4}=152.4 \mathrm{pm} \end{aligned}$

Asked in: MHT CET 2021 (24 Sep Shift 1)

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