Can Visible Photons Occur From -60.0 eV Electron Transitions?

[ConorDMK]

Homework Statement

Photons can be observed by the human eye as long as their energies are between 1.8 eV and 3.1 eV. In a particular atom one of the electron energy levels is at -60.0 eV. Can electron transitions, associated with this energy level produce photons that are visible to the human eye? Explain why your answer is ’yes’ or ’no’.

Homework Equations

I'm not sure about these

E_n=-(Z²E₀)/n²

E_m=-(Z²E₀)/m²

n>m

The Attempt at a Solution

ΔE_n→m=-Z²E₀(1/n²-1/m²)

Where E₀=13.6eV

I know the answer is 'no' and that we are meant to get to a point where n/m<1 to show that the answer is 'no', but I don't know where to go from here.

 

[andrevdh]

The photons are produced when the electrons move over from a higher energy level to a lower energy level.