Spectral lines from multiple atoms

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Homework Help Overview

The problem involves a gas discharge tube containing various hydrogen, helium, and lithium ions and atoms, focusing on the spectral lines produced as the potential across the tube is increased. It specifically addresses the first spectral line to appear and the order of increasing frequency for the first line of the Lyman series of hydrogen and related ions.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the interpretation of the term "origin" in the context of spectral lines and consider the implications of reduced mass on frequency calculations for various ions and atoms.

Discussion Status

The discussion is exploring different interpretations of the problem, particularly regarding the meaning of "origin" and how it relates to the spectral lines of different isotopes. Some participants are clarifying their understanding of the transitions involved, while others are questioning the assumptions about reduced mass effects.

Contextual Notes

There is uncertainty regarding the specific requirements of part (b) of the problem, particularly in relation to the phrase "the origin of the lines." Participants are navigating the implications of this phrasing on their approach to the problem.

gildomar
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Homework Statement



"A gas discharge tube contains H 1 , H2, He 3 , He4, Li6, and Li7 ions and atoms (the superscript
is the atomic mass), with the last four ionized so as to have only one electron. (a)
As the potential across the tube is raised from zero, which spectral line should appear
first? (b) Give, in order of increasing frequency, the origin of the lines corresponding to the
first line of the Lyman series of H 1 ."

Homework Equations


The Attempt at a Solution



I have no problem with part (a), but I don't quite get what they're asking for in part (b).
 
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The first line of the Lymann series originates from a transition from the second to the first energy level of hydrogen.
I guess that they want the lines form the other ions and atoms of similar transitions in the order of increasing frequencies. So you need state them in increasing frequencies order and specify from which ion or atom they originate.
 
That's basically what I was thinking, but the phrase "the origin of" was throwing me off. Without that phrase, that part is also pretty straight-forward, since I would just use the reduced mass Rydberg equation to calculate the frequency of the spectral line in each atom with n: 2->1. But with the phrase, it sounds like they want me to find the frequency for the first Lyman transition for the hydrogen, helium, and lithium without taking the reduced mass effect into account.
 
I think "origin" just means the isotope.
 

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