What is the value of n for the level in which the electron originated?

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Discussion Overview

The discussion revolves around determining the principal quantum number (n) for an electron in a hydrogen atom that relaxes to the n=4 level while emitting light at a frequency of 114 THz. The focus includes calculations related to energy levels, frequency, and conversions between units.

Discussion Character

  • Technical explanation, Mathematical reasoning, Debate/contested

Main Points Raised

  • One participant states that the electron relaxes to the n=4 level and emits light of 114 THz.
  • Another participant proposes that the correct level should be n=6, providing calculations based on the energy emitted and the frequency of the light.
  • A question is raised regarding the conversion from THz to Hz in the calculations presented.
  • Further inquiries are made about the conversion from joules to electron volts and the origin of the delta E term in the energy calculations.
  • A participant provides the conversion factors for THz to Hz and eV to J to clarify the calculations.

Areas of Agreement / Disagreement

There is disagreement regarding the correct value of n, with one participant asserting n=4 and another arguing for n=6. The discussion includes multiple viewpoints and calculations without a consensus on the correct answer.

Contextual Notes

Participants express uncertainty about the conversion factors and the derivation of certain terms in the energy calculations, indicating potential limitations in the assumptions made during the calculations.

Who May Find This Useful

This discussion may be useful for individuals interested in quantum mechanics, atomic physics, and energy level transitions in hydrogen atoms.

plstevens
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An electron in a hydrogen atom relaxes to the n= 4 level, emitting light of 114THz.
 
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should be n=6
E=hf = (6.63*10^-34)(114*10^12) = 7.56*10^-20J = 0.472eV
E4= -13.6/4^2
En = -13.6/n^2
delta E =En-E4=0.85-13.6/n^2
deltaE = 0.472
you will find n=6
 
Thank you so much, but i have one question:

when u did 114*10^12 was that showing the conversion factor from THz to Hz?
 
also in the first step, how did u convert from J to eV? And where did delta E come from?
 
1THz = 10^12 Hz
1eV =1.6*10^-19 J
(7,.56 *10^-20)/(1.6*10^-19) = ? eV
 

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