Question

The innermost orbit of the hydrogen atom has a diameter 1.06 Å. The diameter of tenth orbit is

• A. 5.3 Å
• B. 10.6 Å
• C. 53 Å
• D. 106 Å

Answer 1

Answer: (D)

106 Å

Answer 2

Using $r \propto n^{2}$ ⇒ $\frac{r_{2}}{r_{1}} = \left( \frac{n_{2}}{n_{1}} \right)^{2}$ or $\frac{d_{2}}{d_{1}} = \left( \frac{n_{2}}{n_{1}} \right)^{2}$

⇒ $\frac{d_{2}}{1.06} = \left( \frac{10}{1} \right)^{2}$ ⇒ d = 106 Å