# Bohr Model (Lyman,Balmer,Paschen series)

• Nope
In summary: The wavelengths for the 3rd line in the Lyman series, 2nd line in the Balmer series, and 1st line in the Paschen series would all correspond to transitions from n=4 to n=1, n=4 to n=2, and n=4 to n=3, respectively. These can be calculated using the Rydberg formula. In summary, the wavelengths for these lines are determined by transitions from n=4 to n=1, n=4 to n=2, and n=4 to n=3, and can be calculated using the Rydberg formula.
Nope

## Homework Statement

Determine the wavelengths of photons given off for the 3rd line in the Lyman series , the 2nd line in the Balmer series, and the 1st line in the Paschen series.

The question is weird,
I don't understand what the "line" mean...

"1st line in the Paschen series " Is it mean ni is 1? Paschen series:nf=3
Thanks

## The Attempt at a Solution

The 'line' is a spectral line (see http://en.wikipedia.org/wiki/Hydrogen_spectral_series), for the Lyman series it is the transitions from n >= 2 to the n = 1 state, for Balmer series its from n >= 3 to the n = 2 state and the Paschen series are transitions from n >= 4 to n = 3 state. The first line in each series is the transition from the next lowest number in the series to the lowest (so in the Lyman series the first line would be from n=2 to n=1) and the second line would be from from the third lowest to the lowest (in Lyman it would be n=3 to n=1) etc etc.
To calculate the wavelength you can use the Rydberg formula.

ojs said:
The 'line' is a spectral line (see http://en.wikipedia.org/wiki/Hydrogen_spectral_series), for the Lyman series it is the transitions from n >= 2 to the n = 1 state, for Balmer series its from n >= 3 to the n = 2 state and the Paschen series are transitions from n >= 4 to n = 3 state. The first line in each series is the transition from the next lowest number in the series to the lowest (so in the Lyman series the first line would be from n=2 to n=1) and the second line would be from from the third lowest to the lowest (in Lyman it would be n=3 to n=1) etc etc.
To calculate the wavelength you can use the Rydberg formula.

I see,
3rd line in the Lyman series --> ni=4
2nd line in the Balmer series --> ni=4
1st line in the Paschen series ---> ni=4
am i right?

Nope said:
I see,
3rd line in the Lyman series --> ni=4
2nd line in the Balmer series --> ni=4
1st line in the Paschen series ---> ni=4
am i right?

Yes, you are quite right here.

## What is the Bohr Model?

The Bohr Model, also known as the Bohr atomic model, is a simplified representation of an atom developed by Danish physicist Niels Bohr in 1913. It describes the structure of an atom as a nucleus containing positively charged protons and neutral neutrons, surrounded by negatively charged electrons orbiting in specific energy levels.

## What is the Lyman Series?

The Lyman series refers to the set of spectral lines emitted by hydrogen atoms when electrons transition from higher energy levels to the ground state. These transitions result in the emission of ultraviolet light, with wavelengths ranging from 91.2 nanometers to the Lyman limit at 121.6 nanometers.

## What is the Balmer Series?

The Balmer series is a set of spectral lines emitted by hydrogen atoms when electrons transition from higher energy levels to the first excited state. These transitions result in the emission of visible light, with wavelengths ranging from 410.2 nanometers to the Balmer limit at 656.3 nanometers.

## What is the Paschen Series?

The Paschen series is a set of spectral lines emitted by hydrogen atoms when electrons transition from higher energy levels to the second excited state. These transitions result in the emission of infrared light, with wavelengths ranging from 922.9 nanometers to the Paschen limit at 1875.1 nanometers.

## How does the Bohr Model explain the Lyman, Balmer, and Paschen series?

The Bohr Model explains these series by proposing that electrons in hydrogen atoms can only exist in specific energy levels. When an electron transitions from a higher energy level to a lower one, it emits a photon of light with a specific wavelength. The Lyman, Balmer, and Paschen series correspond to these transitions from higher energy levels to the ground, first excited, and second excited states, respectively.

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