Sodium has body centred packing. Distance between two nearest atoms is $3.7 Å$. The lattice parameter is

Sodium has body centred packing. Distance between two nearest atoms is $3.7 Å$. The lattice parameter is
  1. $6.8 Å$
  2. $4.3 Å$
  3. $3.0 Å$
  4. $8.6 Å$

Solution

Neighbour distance of a body centred cubic cell $\mathrm{d}=\frac{\sqrt{3}}{2} \mathrm{a}$, where $a$ is the lattice parameter. $\begin{array}{ll} \Rightarrow & 3.7=\frac{\sqrt{3} \mathrm{a}}{2} \\ \text { or } & \mathrm{a}=\frac{2 \times 3.7}{\sqrt{3}}=4.3 Å \end{array}$

Asked in: NEET 2009 (Screening)

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