High School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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

#SPJ11

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada