What is the atomic radius of polonium if it crystallises in a simple cubic structure with edge length of…

What is the atomic radius of polonium if it crystallises in a simple cubic structure with edge length of unit cell $336 \mathrm{pm}$ ?
  1. $84 \mathrm{pm}$
  2. $168 \mathrm{pm}$
  3. $234 \mathrm{pm}$
  4. $336 \mathrm{pm}$

Solution

For simple cubic structure, $\begin{aligned} & a=2 r \\ & a=\text { Edge length of unit cell } \\ & r=\text { radius of atoms } \\ & 336=2 r \\ & r=168 \mathrm{pm} \end{aligned}$

Asked in: MHT CET 2021 (23 Sep Shift 2)

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