Discuss Bohr's theory of the spectrum of hydrogen atom ?

The wave length of the lines in each group can be calculated from Bohr's formula
$\frac{1}{\mathrm{\lambda }}={\mathrm{R}}_{\mathrm{H}}\left[\frac{1}{{\mathrm{n}}_1^2}-\frac{1}{{\mathrm{n}}_2^2}\right]$
i) Lyman Series :
The lymen series is obtained when electrons jump to 1st orbit (n₁=1) from outer orbits (n₂=2, 3, 5....).
$\therefore \frac{1}{\mathrm{\lambda }}={\mathrm{R}}_{\mathrm{H}}\left[\frac{1}{(1{)}^2}-\frac{1}{{\mathrm{n}}_2^2}\right]\text{ where }{\mathrm{n}}_2=2,3,5\dots$
This series lies in the ultra violet region which is the visible region.
ii) Balmer series :
The Balmer series is obtained when electrons jump to 2^nd orbit (n₁=2) from outer orbits (n₂ =3,4,5....)
$\left.\therefore \frac{1}{\mathrm{\lambda }}={\mathrm{R}}_{\mathrm{H}}\left[\frac{1}{(2{)}^2}-\frac{1}{{\mathrm{n}}_2^2}\right]\text{ where }{\mathrm{n}}_2=3,4,5\dots ..\right)$
This series lies in the visible spectrum.
iii) Paschen series :
The paschen series is obtained when electrons jump to third orbit (n₁=3) from outer orbit (n₂ = 4,5,6)
This series lies in the infrared region.
iv) Brackett Series :
The brackett series is obtained when electrons jump to fourth orbit (n₁= 4) from outer orbits (n₂ = 5,6,7...)
$\frac{1}{\mathrm{\lambda }}={\mathrm{R}}_{\mathrm{H}}\left[\frac{1}{4^2}-\frac{1}{{\mathrm{n}}_2^2}\right]\text{ where }{\mathrm{n}}_2=5,6,7\dots \dots$
This series also lies in the infrared region.
v) P fund series :
The P fund series is obtained when electron jump to fifth orbit (n₁= 5) from outer orbits (n₂= 6,7,8..)
$\frac{1}{\mathrm{\lambda }}={\mathrm{R}}_{\mathrm{H}}\left[\frac{1}{5^2}-\frac{1}{{\mathrm{r}}_2^2}\right] \text{ where }{\mathrm{n}}_2=6,7,8\dots$
This series also lies in the infrared region.