Physics - Modern Physics Question with Solution | TestHub

${\text{r}}_{\text{n}}\propto \frac{{\text{n}}^{\text{2}}}{\text{z}}$
for Hydrogen atom, (z=1),${\text{r}}_{\text{n}}\propto {\text{n}}^{\text{2}}$
${\text{r}}_{\text{1}}=\text{x}$
${\text{r}}_{\text{3}}=9\text{x}$
Now,$\Rightarrow {\text{2πr}}_{\text{3}}=\text{nλ}$
$\Rightarrow \text{λ=}\frac{2{\text{πr}}_{\text{3}}}{3}$
$\Rightarrow \text{λ=}\frac{2}{3}\text{π}\times \text{9x}$
$\therefore \text{λ}=6\text{πx}$