How many wavelengths could appear in the spectrum of hydrogen atom

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SUMMARY

The discussion focuses on the possible wavelengths that can appear in the spectrum of a hydrogen atom starting from the n=5 energy level. The transitions allowed are from n=5 to n=4, n=3, n=2, and n=1, as well as from n=4 to n=3, and so forth. Each transition corresponds to a specific wavelength emitted during the electron's descent to lower energy levels. The total number of distinct wavelengths can be calculated based on these transitions.

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  • Understanding of quantum mechanics and energy levels in atoms
  • Familiarity with the hydrogen atom spectrum
  • Knowledge of the Rydberg formula for calculating wavelengths
  • Basic concepts of electron transitions between energy states
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How many wavelengths could appear in the spectrum of hydrogen atoms initially in the n=5 state?
 
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It can only go down. But it can go in more than one step.
5->4, 5->3,5->2,5->1
4->3 etc
 

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