A hydrogen atom is in the n = 6 state. a). Counting all possible paths, how many

Question

A hydrogen atom is in the n = 6 state.    

a). Counting all possible paths, how many different photon energies can be emitted if the atom ends up in the ground state?   

c). How many different photon energies would occur in a Thomson-model hydrogen atom?

A hydrogen atom is in the n = 6 state. a). Counting all possible paths, how many different photon energies can be emitted if the atom ends up in the ground state? b). Suppose only Delta n = 1 (jumps of only 1) transitions were allowed. How many different photon energies would be emitted? c). How many different photon energies would occur in a Thomson-model hydrogen atom?

Explanation / Answer

a). Counting all possible paths, how many different photon energies can be emitted if the atom ends up in the ground state?   

This jump occurs in lyman series, the resultant photons will be in the ultraviolet range. Only one photon energy will be emitted as the electron will move from 6th state to ground state

E = hcR{1- (1/62)}                   ( R

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