Name: Bohr Atom Model: Frequency of Emitted Radiation
Uploaded: 2019-07-19
Duration: 3 min 54 s
Description: Electrons jump in different energy levels. Let's understand how we can calculate the frequency of emitted and absorbed radiation as electrons transition into...

Question

Write the name of different series of emission spectrum of Hydrogen and represent them by the formula.

Accepted Answer

The emission spectrum of hydrogen or line spectrum of hydrogen is produced when hydrogen gas is taken in the discharge tube and the light emitted on passing electric discharge at low pressure is examined with a spectroscope.
It is found to consist of a large number of lines that are grouped into different series. The names of different series are the Lyman series, Balmer series, Paschen series, Brackett series, and Pfund series. The emission spectrum is similar except that in place of dark lines, there are colored lines with dark space in between.
The Lyman series belongs to the ultraviolet region. The Balmer series belongs to the visible region. The Paschen series, Brackett series, and Pfund series belong to the infrared region.
Although a large number of lines are present in the hydrogen spectrum, Rydberg in 1890 gave a very simple theoretical equation for the calculation of the wavelength of these lines. The equation gives the calculation of the wave number (v¯) of the lines by the formula:

$\bar{v} = R (\frac{1}{{n^{2}}_{1}} - \frac{1}{{n_{2}}^{2}})$

Where R is a constant called Rydberg constant, and its value is equal to 109677 $c m^{- 1}$ , n1 and n2 are whole numbers and for a particular series, n1 is constant and n2 varies.

For Lyman series, n1=1, n2=2,3,4.......
For Balmer series, n1=2, n2=3,4,5........
For Paschen series, n1=3, n2=4,5,6.........
For Brackett series, n1=4, n2=5,6,7........
For Pfund series, n1=5, n2=6,7,8........

For H-like particles, the formula is:

$\bar{v} = R (\frac{1}{{n^{2}}_{1}} - \frac{1}{{n_{2}}^{2}}) Z^{2}$

Where Z is the atomic number of the H-like particle.

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