Background: The figure is an energy-level diagram for a quantum system. See imag

Question

Background:
The figure is an energy-level diagram for a quantum system.

See image:
http://session.masteringphysics.com/problemAsset/1021627/9/jfk.Figure.28.P38.jpg

Question:
What wavelengths appear in the system's emission spectrum? Express your answer using two significant figures in nanometers. Enter your answers numerically separated by commas. I'm not quite sure how to get this one. I think I use E=hv=hc/l as an equation, but I'm not sure what to plug in, if that is even the correct formula. Can anyone help??
What wavelengths appear in the system's emission spectrum? Express your answer using two significant figures in nanometers. Enter your answers numerically separated by commas. I'm not quite sure how to get this one. I think I use E=hv=hc/l as an equation, but I'm not sure what to plug in, if that is even the correct formula. Can anyone help??

Explanation / Answer

the emission spectrum will also have the 828.1nm and 310.5nm wave lengths due to the 2 to 1 and 3 to 1 , quantum jumps from the exicted states 2 and 3 to the ground state. in addition the emission specturum will contain 3 to 2 quantum jump with    ?E3to2 = 1.5ev - 4.0ev = -2.5ev ?3 to2 = hc/? E3to2 = 6.625 * 10-34 J.s * 3 * 108 m/s / 2.5ev    = 496.9nm therfore the emission wave lengths 2 to 1 = 828.1nm 3 to 1 = 310.5nm 3 to2 = 496.9nm

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