The radius of innermost orbit of hydrogen atom is $5.3 \times 10^{-11} \mathrm{~m}$. The radius of fourth…

The radius of innermost orbit of hydrogen atom is $5.3 \times 10^{-11} \mathrm{~m}$. The radius of fourth allowed orbit of hydrogen atom is
  1. $8.48 Å$
  2. $2 \cdot 12 Å$
  3. $4.77 Å$
  4. $0.53 Å$

Solution

$\begin{array}{ll} & r_n \propto n^2 \\ \therefore & \frac{r_n}{r_0}=\left(\frac{n}{1}\right)^2=(4)^2=16 \\ \therefore & r_4=16 \times\left(5.3 \times 10^{-11}\right)=8.48 Å \end{array}$ .

Asked in: MHT CET 2024 (02 May Shift 1)

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