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## Homework Statement

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 +

*z*axis and the magnetic dipole moment

**µ**ℓ due to the electron's orbital motion.

-2hbar, 35

hbar, 114

2hbar, 90

2hbar, 35

2hbar, 145

## Homework Equations

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?