# Quanton in Box Energy Levels

1. Apr 29, 2014

### wompkins

1. The problem statement, all variables and given/known data
Imagine a box of unknown length with the only visible photons emitted have 620nm and 443nm. Identify the transitions and find the length of the box.

2. Relevant equations
wavelength = (8mc2L2)/(hc(ni2 - nf2)

3. The attempt at a solution
So I assume that I need to do is make a guess and find the first transition. From there find the ground state and then compare this ground state to the next transition.

From the lecture on this topic though we did not go over any problems like this so I am confused as to find the first transition.

2. Apr 30, 2014

### BvU

Beware the "visible" ! You don't know if there are invisible photons, but you do know that there are no photons with a wavelength in between. Try a few transitions and see what wavelength expressions you get. Perhaps an expression for the difference between two consecutive wavelengths ?

3. Apr 30, 2014

### dauto

Try dividing one wavelength by the other

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