Photon Emission and Energy Levels in a Hydrogen Atom

[Owen-]

Homework Statement

A hydrogen atom is excited from the state with n=1 to that with n=4. Calculate the energy (in eV) that must be absorbed by the atom. Calculate and display on an energy-level diagram the different photon energied (in eV) that may be emitted in order for the atom to reach the n=1 state

Homework Equations

E(n)=(-A)/(n^2)

A=13.6

The Attempt at a Solution

See attached image

 

[Owen-]

Basically I got a couple of answers and none of them add up, and I am wondering where I've gone wrong...

thanks in advance,
Owen

 

[Xerxes1986]

This belongs in intro physics...

The only thing wrong with your solution is your E4 - E1 calculation. Think about what it means to go from n=1 to n=4 and the energy DIFFERENCE between these 2 levels (Hint, your answer by definition cannot be greater than 13.6eV)