Does a Hot Gas of Hydrogen Emit Radiation of a Single Frequency?

[vangto]

hi guys, having a bit of trouble answering this physics question. Wondering if any of the experts can help me out.

Can the electromagnetic radiation produced by a hot gas of hydrogen atoms be exactly of one frequency?
They say also that the atoms make a transition from state n=2 to n=1 and that all atoms are moving.
not sure about this one. From what I saw in tutorial hot gases show several frequencies. Am I thinking of the right thing, the spectra that shows from the slit experiments with all the vertical spectrum lines.
hope someone can help

oh, a similar question involving state transitions

A hydrogen atom undergoes a transition from the state n=3 to n=2 and then another transition from n=2 to n=1. Two photons are created due to these processes. Which photon has the higher frequency?
I have thought about this one all night, and can't understand it. They say two photons are created, I'm not sure if they mean at once, or one from state n=3 to n=2 and one from n=2 to n=1.


any thoughts?
thanks

 

[chroot]

Please do not post the same question in more than one place here.

- Warren

 

[thepatientmental]

Hi there,

I can definitely help you with these questions. Let's start with the first one about electromagnetic radiation produced by a hot gas of hydrogen atoms. The answer is no, the radiation cannot be exactly of one frequency. This is because the atoms are constantly moving and colliding with each other, which causes a broadening of the spectral lines. This is known as Doppler broadening. Additionally, the energy levels of the atoms are not perfectly defined, leading to a natural broadening of the spectral lines as well. This means that the radiation emitted by a hot gas of hydrogen atoms will have a range of frequencies, rather than just one.

Now, for the second question about state transitions and photon frequencies. In this scenario, the photon created from the transition from n=3 to n=2 will have a higher frequency than the one created from n=2 to n=1. This is because the energy difference between n=3 and n=2 is greater than the energy difference between n=2 and n=1. Since photon frequency is directly proportional to energy, the photon from the n=3 to n=2 transition will have a higher frequency.

I hope this helps clear things up for you. Let me know if you have any further questions. Good luck with your studies!