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- The He+ ion is a one-electron system similar to hydrogen, except that Z=2. Calculate the wavenumbers (in ) for the first and last lines in each of the three spectroscopic series corresponding to those discussed for the hydrogen atom.The magnitude of the orbital angular momentum in an excited state of hydrogen is 6.84 × 10-34 J ·s and the z com- ponent is 2.11 x 10-3ª J ·s. What are all the possible values of n, l, and mẹ for this state?How many electrons can occupy the system with l=0, l=2 and l=4. What is number of possibleorientations of the orbital angular momentum with l=4? What is the smallest z-component of theorbital angular momentum?
- Calculate the number of angles that L can make with the z-axis for an l=3 electron.(a) What is the magnitude of the orbital angular momentum in a state with e = 2? (b) What is the magnitude of its largest projection on an imposed axis? (a) Number 2.50998008 Units J.s (b) Number 2.11 Units J.sCompute and compare the electrostatic and gravitational forces in the classical hydrogen atom, assuming a radius 5.3 x 10-11 m.