Q8 / 150 · MHT CET 2021 (23 Sep Shift 2) · Chemistry

What is the atomic radius of polonium if it crystallises in a simple cubic structure with edge length of unit cell $336 \mathrm{pm}$ ?

  • A
    $84 \mathrm{pm}$
  • Correct answer
    B
    $168 \mathrm{pm}$
  • C
    $234 \mathrm{pm}$
  • D
    $336 \mathrm{pm}$

Solution

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

Hence, the correct answer is option: 'B'.

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