High School

What angle does the orbital angular momentum make with the z-axis of a hydrogen atom in the state \( n = 3, l = 2, m = -1 \)?

A. -66 degrees
B. 66 degrees
C. 24 degrees
D. 114 degrees
E. 73 degrees

Answer :

The angle of the orbital angular momentum is option (B) 66 degrees.

The formula for finding the angle between the z-axis and the angular momentum is given by cosθ = m/√(l(l+1)), where m is the magnetic quantum number, l is the angular momentum quantum number, and θ is the angle between the z-axis and the angular momentum.

Plugging in the given values, we have: m = -1l = 2θ = cos^(-1)(-1/√[2(2+1)])= cos^(-1)(-1/√6)≈66 degrees.

Therefore, the answer to the given student question is option (B) 66 degrees.

To learn more about momentum, refer below:

https://brainly.com/question/30677308

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