Bohr Model (Lyman,Balmer,Paschen series)

AI Thread Summary
The discussion focuses on determining the wavelengths of photons emitted in specific lines of the Lyman, Balmer, and Paschen series of hydrogen. Participants clarify that "lines" refer to spectral lines corresponding to transitions between energy levels, with the first line in each series representing the transition from the lowest energy level to the next. The Rydberg formula is suggested for calculating the wavelengths. The correct transitions for the specified lines are confirmed, with the third line in the Lyman series, the second line in the Balmer series, and the first line in the Paschen series all involving transitions to the n=4 state. The conversation concludes with agreement on the identification of these transitions.
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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

Homework Equations


The Attempt at a Solution

 
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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.
 
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