Question

Question Part Submissions Used 1 0/2 Suppose that one measures the magnitude of the total orbital angular momentum of the hydrogen atom and obtains the result 3.65 x 10-34 J-s. Suppose the z-component of the orbital angular momentum and the energy of the hydrogen atom were simultaneously measured. Which of the following measurement result possibilities would not have been obtained?

1. Lz=0

2.E=-1.5 eV

3. E=-0.85 eV

4. Lz=-3.17 x 10-34 J-s

Answer 1

The total angular momentum is

Therefore

Therefore

Solving this gives

Therefore the primary shell's quantum number has to be

The energy

corresponds to n = 3 shell. But n = 3 shell is not possible for the electron which has quantum number.

Hence E = -1.5 eV cannot be obtianed for this electron.