Q34 / 150 · MHT CET 2022 (07 Aug Shift 1) · Chemistry

Calculate the edge length of unit cell that crystallises to form bcc structure. (Radius of atom is $2.17 \times 10^{-8} \mathrm{~cm}, \sqrt{3}=1.732$ )

  • A
    $4.3 \times 10^{-8} \mathrm{~cm}$
  • B
    $2.5 \times 10^{-8} \mathrm{~cm}$
  • Correct answer
    C
    $5.0 \times 10^{-8} \mathrm{~cm}$
  • D
    $3.1 \times 10^{-8} \mathrm{~cm}$

Solution

For B.C.C unit cell $\begin{aligned} & \sqrt{3} \mathrm{a}=4 \mathrm{r} \\ & \mathrm{a}=\frac{4 \times 2.17 \times 10^{-8}}{\sqrt{3}}=5.0 \times 10^{-8} \mathrm{~cm}\end{aligned}$

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

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