Wavelength of a laser exciting H atom from n =2 to n = 5

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SUMMARY

The discussion focuses on calculating the wavelength of a monochromatic laser that excites hydrogen atoms from the n = 2 state to the n = 5 state. The method involves determining the energy difference (delta E) using the formula En = n²h²/8mL², followed by calculating the frequency (f) with the equation f = delta E / h, and finally deriving the wavelength (lambda) using lambda = c / f. The participant confirms the validity of this approach after resolving a query regarding the variable L in the energy formula.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically energy levels of hydrogen atoms.
  • Familiarity with the Planck constant (h) and its application in energy calculations.
  • Knowledge of the speed of light (c) and its role in wavelength calculations.
  • Ability to manipulate and solve algebraic equations related to physics formulas.
NEXT STEPS
  • Research the derivation of the energy levels of hydrogen atoms using the formula En = n²h²/8mL².
  • Learn about the relationship between energy, frequency, and wavelength in electromagnetic radiation.
  • Explore the concept of monochromatic light and its applications in quantum mechanics.
  • Investigate the significance of the Planck constant in quantum physics and its implications in energy calculations.
USEFUL FOR

Students and professionals in physics, particularly those studying quantum mechanics, laser technology, and atomic transitions in hydrogen. This discussion is beneficial for anyone looking to deepen their understanding of energy level transitions and wavelength calculations in atomic systems.

Linus Pauling
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1. A monochromatic laser is exciting hydrogen atoms from the n = 2 state to the n = 5 state. What is the wavelength of the laser?



2. frequency = f = delta E / h
lambda = c/f




3. First, is the following approach valid:

I find delta E by computing E5 - E2, where En = n2h2/8mL2

I then divide that answer by h to obtain f, then do c/f = lambda.

If that's a valid approach, then I am confused as to what I use for L in the En formula.
 
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Nevermind, I got it.
 

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