What happens to electric PE as n increases in a hydrogen atom?

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Homework Help Overview

The discussion revolves around the electric potential energy of a hydrogen atom as the principal quantum number n increases. Participants are examining the implications of increasing n on the energy levels and potential energy of the atom.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the relationship between the energy levels and the electric potential energy as n increases. There is confusion regarding whether the potential energy becomes more negative or less negative and how this relates to the concept of magnitude.

Discussion Status

The discussion is active, with participants questioning the definitions and implications of potential energy in the context of excited states. Some guidance has been offered regarding the arbitrary nature of potential energy definitions, but no consensus has been reached.

Contextual Notes

There is an assumption that the question pertains to the behavior of potential energy in excited states, which may not be explicitly stated in the original problem. Participants are also grappling with the concept of negative values in energy calculations.

utkarshakash
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Homework Statement


As one considers orbits with higher values of n in a hydrogen atom, the electric potential energy of the atom
a)increases
b)decreases
c)remains same
d)does not increase

Homework Equations



The Attempt at a Solution


Energy of the atom in nth energy level is -13.6z^2/n^2. As n increases E should decrease.
 
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utkarshakash said:
Energy of the atom in nth energy level is -13.6z^2/n^2. As n increases E should decrease.

Do you mean -13.6z^2/n^2 becomes more negative if n increases?


ehild
 
ehild said:
Do you mean -13.6z^2/n^2 becomes more negative if n increases?


ehild

I'm assuming the question asks about magnitude. The magnitude will decrease but if we consider -ve sign it will increase. I'm really confused!
 
No, it is not about the magnitude. You know that the potential energy is defined by an arbitrary constant. You could count the potential energy from the ground level of the hydrogen. Would the energy decrease in the excited states? Higher values of n mean excited states of the atom.

ehild
 

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