What Energy Is Needed to Reach the 3rd Excited State in an Infinite 1-D Well?

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Homework Help Overview

The discussion revolves around calculating the energy required for a particle in an infinite one-dimensional well to transition from the ground state to the third excited state. The original poster provides initial energy values and seeks clarification on the necessary energy change.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the energy equations relevant to the infinite well model, with one suggesting specific formulas for energy levels. There is also a request for hints, indicating a desire for guidance without direct solutions.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on the problem setup and relevant equations. Some guidance has been offered regarding the need for initial attempts before receiving help, but no consensus or resolution has been reached yet.

Contextual Notes

Participants are working within the constraints of homework rules, which may limit the extent of assistance provided. The original poster's energy values and state definitions are also under discussion, indicating potential assumptions that need clarification.

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Homework Statement


If a particle (infinite 1-D well) in ground state n =1 with an energy 1.26 eV above E=0. Whats the energy needed to get it to 3rd excited state n =4?

Homework Equations

The Attempt at a Solution


any hints?
 
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Im thinking En = h2kn2/(2m) or En = n2π2ħ2/(2mL2)?
 
m= 9.11E-31kg
ħ=h/2pi
a=(pi2 ħ2/E2m)*12
a=1.66E-34/2.3E-30
a= 7.22E-5eV

I tried this
 

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