What is Balmer Series ???
The Balmer series or Balmer lines in atomic physics, is the designation of one of a set of six named series describing the spectral line emissions of the hydrogen atom
The Balmer series is the name given to a series of spectral emission lines of the hydrogen atom that result from electron transitions from higher levels down to the energy level with principal quantum number
There are four transitions that are visible in the optical waveband that are empirically given by the Balmer formula.
The generalisation of this is the Rydberg formula, which also gives the other lines of hydrogen outside the optical region of the electromagnetic spectrum:
#1/(lamda_0) = R_H(1/n_1^2 - 1/n_2^2)#
The Balmer series is seen in atomic spectra, commonly discussed for the hydrogen atom.
You have the Lyman (
For the Balmer series, the transitions always land on
Each energy level converges as
#color(blue)(1/lambda = R_H (1/(n_1^2) - 1/(n_2^2)))#
So if we wanted to know what transition corresponds to the wavelength of
#= "10973731.6" cancel("m"^(-1)) xx cancel"1 m"/("10"^9 "nm") xx (1/(n_1^2) - 1/(n_2^2))#
#= "0.0109737316 nm"^(-1) xx (1/(2^2) - 1/(n_2^2))#
#0.1389 = 1/4 - 1/n_2^2#
#n_2^2 = 9.0019#
#color(blue)(n = 3.0003 ~~ 3)#
So the transition must be from