Bohr's quantization conditions for the allowed state of an electron in the hy- drogen atom are given by h ln=mvain= "2t where n 1,2, 3.. consider a ten-fold ionized sodium ion, na10+, which is obtained by removing ten electrons from a na atom (z = 11). (i) derive the radii (rn) and the speeds (v) of the allowed states (ii) calculate the orbiting speed and orbital angular momentum of the electron when the ion is in its third excited state (c) an experimenter determines that when a beam of monoenergetic electrons bombards a sample of a pure gas, atoms of the gas are excited if the kinetic energy of each electron in the beam is 3.82 ev or greater (i) determine the de broglie wavelength of 3.82 ev electrons (ii) once the gas is excited by 3.82ev electrons, it emits monochromatic light determine the wavelength of this light (iii) experiments reveal that two additional wavelengths are emitted if the beam energy is raised to at least 4.93 ev. construct an energy level diagram consistent with this information and determine the energies of the photons associated with those two additional wavelengths. label all three possible transitions