Calculate the radius of an atom of metal if it forms simple cubic unit cell with edge length 380 pm .

Calculate the radius of an atom of metal if it forms simple cubic unit cell with edge length 380 pm .
  1. 285.0 pm
  2. 67.2 pm
  3. 190.0 pm
  4. 82.3 pm

Solution

For simple cubic unit cell, edge length $(a)=2 r$ Edge length $(a)=380$ pm $\begin{aligned} \Rightarrow \mathrm{r} & =\frac{\mathrm{a}}{2} \\ & =\frac{380 \mathrm{pm}}{2}=190 \mathrm{pm} \end{aligned}$

Asked in: MHT CET 2024 (02 May Shift 2)

Practice more Solid State questions on Aicharya