What is the total number of atoms in BCC crystal lattice having $1.8 \times 10^{20}$ unit cells?

What is the total number of atoms in BCC crystal lattice having $1.8 \times 10^{20}$ unit cells?
  1. $9.0 \times 10^{20}$
  2. $1.8 \times 10^{20}$
  3. $3.6 \times 10^{20}$
  4. $7.2 \times 10^{20}$

Solution

In one BCC crystal unit cell number of atoms $(Z)=2$ Total number of atoms $=\mathrm{Z} \times$ Number of unit cells $\begin{aligned} & =2 \times 1.8 \times 10^{20} \\ & =3.6 \times 10^{20} \end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 2)

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