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

Drawing a neat energy level diagram, show the various spectral series of hydrogen atom and also write the formula for frequency of these spectral lines.

Accepted Answer

The energy level diagram of the hydrogen atom is given below.

When the electron transits from a higher energy level to a lower energy level photon is emitted. The energy of the photon is the difference in the energy of the states. The photon will emit with a frequency corresponding to the energy difference of the final and initial energy states. The energy of each state remains the same.Hence the emitted photon will always have the same frequency always.
The spectral lines are classified into series. The expression connecting the wavelength and the difference between the energy levels is described by the Rydberg formula.
$\frac{1}{λ} = {RZ}^{2} (\frac{1}{{(n_{f})}^{2}} - \frac{1}{{(n_{i})}^{2}})$ .
Where $λ$ is the wavelength, $Z$ is the atomic number, $R$ is the Rydberg constant, $n_{f}$ is the principal quantum number of the final state, and $n_{i}$ is the principal quantum number of the initial state.
The spectral lines including the transition of the electron to $n = 1$ energy state from the higher energy levels are called Lyman series. That is $n_{f} = 1 and n_{i} > 1$ .
The spectral lines including the transition of the electron to $n = 2$ energy state from the higher energy levels are called Balmer series. That is $n_{f} = 2 and n_{i} > 2$ .
The spectral lines including the transition of the electron to $n = 3$ energy state from the higher energy levels are called Paschen series. That is $n_{f} = 3 and n_{i} > 3$ .
The spectral lines including the transition of the electron to $n = 4$ energy state from the higher energy levels are called Brackett series. That is $n_{f} = 4 and n_{i} > 4$ .
The spectral lines including the transition of the electron to $n = 5$ energy state from the higher energy levels are called Pfund series. That is $n_{f} = 5 and n_{i} > 5$ .

Drawing a neat energy level diagram, show the various spectral series of hydrogen atom and also write the formula for frequency of these spectral lines.

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