What is the radius of fourth orbit of $\mathrm{Be}^{+++}$?

What is the radius of fourth orbit of $\mathrm{Be}^{+++}$?
  1. $211.6 \mathrm{pm}$
  2. $158.7 \mathrm{pm}$
  3. $52.9 \mathrm{pm}$
  4. $13.2 \mathrm{pm}$

Solution

$\mathrm{Be}^{+++}$is a hydrogen-like species having $\mathrm{Z}=4$. Radius of the fourth orbit of $\mathrm{Be}^{+++}$ $=\mathrm{r}_4=\frac{52.9 \times(4)^2}{4} \mathrm{pm}=211.6 \mathrm{pm}$

Asked in: MHT CET 2023 (10 May Shift 2)

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