Hydrogen Spectrum: Blue Line w/ 434nm Wavelength

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    Hydrogen Spectrum
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SUMMARY

The discussion focuses on the hydrogen spectrum, specifically the blue line at a wavelength of 434nm, which corresponds to the transition of an electron from the fifth energy level (n1 = 5) to the second energy level (n2 = 2). The calculation utilizes the Rydberg formula, confirming that the lower energy level is indeed 2, which is part of the Balmer series, the only series that appears in the visible spectrum. This transition emits photons of blue light, demonstrating key principles of quantum mechanics and atomic structure.

PREREQUISITES
  • Understanding of the Rydberg formula for hydrogen spectrum calculations
  • Knowledge of energy levels in hydrogen atoms
  • Familiarity with the concept of photon emission during electron transitions
  • Basic grasp of the Balmer series and its significance in spectroscopy
NEXT STEPS
  • Study the Rydberg formula in detail to understand its applications in other elements
  • Explore the Balmer series and its implications in visible light spectroscopy
  • Investigate the quantum mechanics behind electron transitions and energy levels
  • Learn about other series in the hydrogen spectrum, such as the Lyman and Paschen series
USEFUL FOR

Students studying quantum mechanics, physics educators, and anyone interested in atomic spectroscopy and the behavior of hydrogen atoms.

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Homework Statement


The hydrogen spectrum contains a blue line with a wavelength of 434nm. Photons of blue light are emitted when hydrogen's electron drops from the fifth energy level to a lower energy level. What is the lower energy level?


Homework Equations


1/wavelength = R [ 1/n2^2 - 1/n1^2]


The Attempt at a Solution


1/(4.34*10-7m)= (1.097 x 10^7 m^-1) [1/n2^2 - 1/5^2]
2,304,147/(1.097*10^7) = 1/n2^2-0.04
0.21n2^2=1
n2=2.182
thus i found that the lower energy level is 2 , is this correct ?
 
Physics news on Phys.org
Yes, if n2 = 2 it's called Balmer series and this is the only series that falls in the visible spectrum.
 

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