Frequency of the series limit of Balmer series of hydrogen atom of Rydberg's constant ' $R$ ' and velocity…
Frequency of the series limit of Balmer series of hydrogen atom of Rydberg's constant ' $R$ ' and velocity of light ' C ' is
$\frac{\mathrm{RC}}{4}$
RC
$\frac{4}{\mathrm{RC}}$
4 RC
Solution
Wavelength of Balmer series is given as, $\frac{1}{\lambda}=R\left(\frac{1}{\mathrm{n}^2}-\frac{1}{\mathrm{~m}^2}\right)$ where $\mathrm{n}=2$
For series limit, $\mathrm{m}=\infty$
$\therefore \quad \frac{1}{\lambda}=\mathrm{R}\left(\frac{1}{4}-\frac{1}{\infty}\right)=\mathrm{R}\left(\frac{1}{4}\right)$
Now, $v=\frac{C}{\lambda}$
$\therefore \quad v=\frac{R C}{4}$