question_answer 40)

    The first four spectral lines in the Lyman series of a H-atom are , , andand if instead of Hydrogen , we consider Deuterium, calculate the shift in the wavelength of these lines.

Answer:

                      In hydrogen atom, one electron (of mass me) revolves around one proton (of mass M) Reduced mass for hydrogen, In deuterium, , one electron (of mass me) revolves around nucleus containing one proton and one neutron ( of mass 2M).  Reduced mass for deuterium, When an electron jumps from orbit j o orbit I, the frequency of radiation emitted                            If  is wavelength emitted in case of deuterium, and is wavelength emitted in case of hydrogen,                   As