Select all of the following which are possible combinations of Lz and θ for hydrogen atoms in a d state, where Lz is the z component of the angular momentum L, and θ is the angle between the +zaxis and the magnetic dipole moment µℓ due to the electron's orbital motion.
cosΘ= Lz/L = m(hbar)/√(l(l+1))
mu = -e/2m * L
The Attempt at a Solution
I was able to figure out that cos^-1(Lz/L) will give me all the possible combinations of the d state and the angles associated with each, but cannot figure out the angle between +z and the magnetic dipole moment. Originally I selected 2hbar, 35 as the answer but I was incorrect. I did this because it was the only answer that gave me an angle in the positive z axis and looked like the right choice through elimination. Does anyone have any ideas?