Calculate the number of unit cells in 0.9 g metal if it forms bcc structure. $\left[\rho \times…

Calculate the number of unit cells in 0.9 g metal if it forms bcc structure. $\left[\rho \times \mathrm{a}^3=3 \times 10^{-22}\right.$ gram $]$
  1. $\quad 1.0 \times 10^{21}$
  2. $2.0 \times 10^{21}$
  3. $3.0 \times 10^{21}$
  4. $4.0 \times 10^{21}$

Solution

Number of unit cells in 0.9 g metal $=\frac{0.9}{\rho \times \mathrm{a}^3}$ $\begin{aligned} & =\frac{0.9 \mathrm{~g}}{3 \times 10^{-22} \mathrm{~g}} \\ & =3 \times 10^{21} \end{aligned}$

Asked in: MHT CET 2024 (16 May Shift 1)

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