Question

The innermost orbit of the hydrogen atom has a diameter $1.06\stackrel{\circ }{A}$. The diameter of tenth orbit is

• A. $5.3\stackrel{\circ }{A}$
• B. $10.6\stackrel{\circ }{A}$
• C. $53\stackrel{\circ }{A}$
• D. $106\stackrel{\circ }{A}$

Answer 1

The correct option is D $106\stackrel{\circ }{A}$

Using $r\alpha n^2\Rightarrow \frac{r_2}{r_1}={\left(\frac{n_2}{n_1}\right)}^2$ or $\frac{d_2}{d_1}={\left(\frac{n_2}{n_1}\right)}^2\Rightarrow \frac{d_2}{1.06}={\left(\frac{10}{1}\right)}^2\Rightarrow d=106\stackrel{\circ }{A}$