Q46 / 150 · MHT CET 2023 (13 May Shift 1) · Chemistry

Calculate the radius of metal atom in bcc unit cell having edge length $287 \mathrm{pm}$.

  • Correct answer
    A
    $124.27 \mathrm{pm}$
  • B
    $143.51 \mathrm{pm}$
  • C
    $101.45 \mathrm{pm}$
  • D
    $57.4 \mathrm{pm}$

Solution

For bcc unit cell, $4 \mathrm{r}=\sqrt{3} \mathrm{a}$ $$ \therefore \quad \mathrm{r}=\frac{\sqrt{3}}{4} \mathrm{a}=\frac{1.732 \times 287}{4}=124.27 \mathrm{pm} $$

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

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