Calculate radius of fourth orbit of $\mathrm{B}^{4+}$ ion.

Calculate radius of fourth orbit of $\mathrm{B}^{4+}$ ion.
  1. 169.3 pm
  2. 211.6 pm
  3. 380.8 pm
  4. 413.2 pm

Solution

$\mathrm{r}_{\mathrm{n}}=\frac{52.9(\mathrm{n})^2}{\mathrm{Z}} \mathrm{pm}$ $\mathrm{B}^{4+}$ is a hydrogen-like species having $\mathrm{Z}=5$. Radius of the fourth orbit of $\mathrm{B}^{4+}$ $\begin{aligned} & =\mathrm{r}_4=\frac{52.9 \times(4)^2}{5} \mathrm{pm} \\ & =169.3 \mathrm{pm} \end{aligned}$

Asked in: MHT CET 2024 (04 May Shift 2)

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