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## Homework Statement

A sample of hydrogen atoms are all in the n=5 state. If all the atoms return to the ground state, how many different photon energies will be emitted , assuming all possible transitions occur?

## Homework Equations

possible equation: E= hc/lambda =(E(initial) -E(final)) .

1/lambda = R*(1/m^2-(1/n^2))

## The Attempt at a Solution

Not sure where to begin on this problem, but I suspect I should find the energy of the hydrogen atom between the transitons of the two state. I know n=1 for the ground state.

1/lambda=1.097*10^7*(1/1^2-(1/5^2))

Not sure how to find the Number of photon energies :(