Angular momentum of hydrogen atom in specific energy level

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SUMMARY

The discussion centers on calculating the angular momentum of a hydrogen atom in a specific energy state of -0.278 eV. The relevant equation for energy levels is E_n = -13.6 eV/n², where 13.6 eV represents the Rydberg constant. The user expresses confusion regarding the source of this equation and its significance in their homework. Understanding this relationship is crucial for solving problems related to atomic energy levels and angular momentum.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the Rydberg constant
  • Knowledge of angular momentum equations in quantum systems
  • Basic proficiency in energy level calculations for hydrogen atoms
NEXT STEPS
  • Study the derivation of the energy level formula E_n = -13.6 eV/n²
  • Learn about the significance of the Rydberg constant in atomic physics
  • Explore angular momentum quantization in quantum mechanics
  • Practice problems involving energy levels and angular momentum of hydrogen atoms
USEFUL FOR

Students studying quantum mechanics, particularly those focusing on atomic physics and the behavior of hydrogen atoms in various energy states.

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Homework Statement


A hydrogen atom is in a state with energy -0.278 eV.


Homework Equations


L = nh'


The Attempt at a Solution



The answer book says to do E_n = (-13.6 eV)/n^2 but I can't find this equation in our book. Is the 13.6 a significant number or just a different number they used for a different problem?

I know I can do this all by myself when I have time to study, but I just want to get this homework done quickly tonight to get it out of the way, since I also have a math quiz tomorrow. I promise I'm usually a good student. I'd appreciate any quick help, thanks!
 
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The 13.6eV is the Rydberg constant.
 

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