Calculating Wavelength and Energy of Excited Hydrogen Atom | Help Guide

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Discussion Overview

The discussion revolves around calculating the wavelength and energy of a photon absorbed by a hydrogen atom transitioning from its ground state to an excited state. Participants are examining the correct values for quantum numbers associated with the states of the hydrogen atom.

Discussion Character

  • Technical explanation, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant presents a calculation for the wavelength and energy of a photon absorbed by a hydrogen atom, using the Rydberg formula.
  • Another participant questions the choice of the quantum number for the second excited state, asking why 4 was used.
  • A participant suggests that the correct quantum number for the second excited state should be 2.
  • Further clarification is provided that n=1 represents the ground state, leading to a discussion about what constitutes the first excited state.
  • Another participant proposes that if n=1 is the ground state, then the first excited state would be n=3.
  • One participant expresses agreement with the latter interpretation of the excited states.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct quantum numbers for the excited states, with multiple competing views presented regarding the definitions of the ground and excited states.

Contextual Notes

There are unresolved assumptions regarding the definitions of excited states and the corresponding quantum numbers, which may affect the calculations presented.

fdizzy
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help please, for question: a hydrogen atom, initially in ground state, absorbs a photon, and is excited to its second excited state. What were the wavelength and the energy of the photon by the atom. Did i do it right.

1/λ = (1.097*10^7)(1/n1^2 - 1/n2^2)

1/λ = (1.097*10^7)(1/1^2 - 1/4^2)

λ = 9.72*10^-8 m


Energy = hc/λ

= (6.626*10^-34*3*10^8)/(9.72*10^-8)

= 2.045*10^-18 J
 
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You appear to be using 4 as the value of n for the second excited state. Why is that?
 
oh it should be 2 right ?
 
n = 1 is the ground state, which is not an excited state. So the first excited state would be...
 
so would it be 2
 
i think my n=1 would be 1 its grund state, excited state 2, would be n=3 ?
 
That's how I see it. :smile:
 

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