Energy Levels in Atoms and Line Spectra
 

Energy Levels in Atoms and Line Spectra problem 12


Figure I below shows the lowest four energy levels of an electron in an isolated atom.


I



Figure II below shows the lines in the emission spectrum of the atom that correspond to the transitions of the electron from to and from to .


II



  • Explain, with reference to photons, why there is a single frequency of electromagnetic radiation that corresponds to each of these transitions.


    • On Figure II, draw a line that corresponds to the transition of the electron from to . Label this line A.


    • On Figure II, draw a line that corresponds to the transition of the electron from to . Label this line B.


  • The frequency of radiation represented by line A is . The frequency of radiation represented by line B is . The energy of the ground state () is . Determine an expression, in terms of , , and the Planck constant , for the energy of the energy level .


 

main author and content editor: Ebenezer Famadewa