Write the Balmer formula in terms of the frequency of light.

(N/A) The Balmer formula for the wavelength $\lambda$ of the emitted light is given by:
$\frac{1}{\lambda} = R \left[ \frac{1}{2^2} - \frac{1}{n^2} \right]$
where $R$ is the Rydberg constant and $n = 3, 4, 5, \dots$
Since the frequency $\nu$ is related to wavelength $\lambda$ and the speed of light $c$ by the relation $\nu = \frac{c}{\lambda}$,we can substitute $\frac{1}{\lambda} = \frac{\nu}{c}$ into the Balmer formula:
$\frac{\nu}{c} = R \left[ \frac{1}{2^2} - \frac{1}{n^2} \right]$
Multiplying both sides by $c$,we get the Balmer formula in terms of frequency:
$\nu = Rc \left[ \frac{1}{2^2} - \frac{1}{n^2} \right]$