# What is the Shortest Wavelength in the Balmer Series of Hydrogen Spectral Lines?

• Pengwuino
In summary, the conversation discusses the problem of computing the shortest wavelength for each of the hydrogen spectral series and the associated energy. It is noted that the wavelength can become infinitely small in these equations, but the person realizes their mistake and understands the concept of limits. The conversation also mentions using Rydberg's formula in terms of wavelength and setting something to go to infinity.
Pengwuino
Gold Member
I have this problem that asks me to compute the shortest wavelength in each of these hydrogen spectral series: Lyman, Balmer, Paschen, and Brackett and to compute the energy for each. I am looking at the equations associated with each and it seems as if the wavelength can become infinitely small so there would be no answer for this. What am i missing?

A lot.Write Rydberg's formula not in terms of the frequency number,but in terms of wavelength.U'll see what to do then.

Daniel.

I do it in terms of wavelength and was still lost but...

I think my 6 months away from the idea of limits screwed me up here. I notice the first few n's and the wavelength is getting smaller and smaller and i assumed wow, its getting smaller and smaller, it must become infinitely small! Then i realized that only one part of the equation goes towards 0 and that the wavelength actually exists and bleh, now my homework won't look as empty as usual :D And yes, i did realize what the answer now is.

Well,the shortest wavelength means the highest energy of the emitted photon.I have a hunch,u'll have to set something to go to infinity.And since that something in involved in a denominator,everything will be okay;

Daniel.

Yah, whole limits things seemed to have went bye bye after last semester. I got it now though.

## 1. What is the shortest Balmer series photon?

The shortest Balmer series photon refers to the shortest wavelength photon emitted in the Balmer series of the hydrogen atom. This photon has a wavelength of 364.6 nanometers and corresponds to the transition from the fourth energy level (n=4) to the second energy level (n=2) in the hydrogen atom.

## 2. How is the shortest Balmer series photon produced?

The shortest Balmer series photon is produced when an electron in the hydrogen atom transitions from the fourth energy level (n=4) to the second energy level (n=2). This transition releases energy in the form of a photon with a specific wavelength of 364.6 nanometers.

## 3. What is the significance of the shortest Balmer series photon?

The shortest Balmer series photon is significant because it is the shortest wavelength photon emitted in the Balmer series of the hydrogen atom. This wavelength is unique and corresponds to a specific energy level transition in the hydrogen atom, providing valuable information about the atomic structure and energy levels of the atom.

## 4. How does the wavelength of the shortest Balmer series photon compare to other photons?

The wavelength of the shortest Balmer series photon is shorter than other photons emitted in the Balmer series of the hydrogen atom. It is also shorter than most visible light wavelengths and falls in the ultraviolet region of the electromagnetic spectrum.

## 5. Can the shortest Balmer series photon be observed by the human eye?

No, the shortest Balmer series photon has a wavelength of 364.6 nanometers, which is in the ultraviolet region of the electromagnetic spectrum. This wavelength is not visible to the human eye, as the human eye can only perceive wavelengths between 400-700 nanometers in the visible light spectrum.

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