Why Doesn't the Beam Split Horizontally?

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Homework Help Overview

The discussion revolves around the behavior of a beam of hydrogen atoms in a magnetic field, specifically addressing why the beam does not split horizontally. The context involves concepts from electromagnetism and quantum mechanics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the directional behavior of the beam split, questioning the absence of horizontal splitting. Some participants discuss the role of magnetic dipole moments and the effects of the magnetic field on the hydrogen atoms, including torque and net force considerations.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the beam's behavior. Some guidance has been provided regarding the magnetic properties of hydrogen atoms and their interaction with the magnetic field, but no consensus has been reached.

Contextual Notes

Participants note the importance of the magnetic field's orientation and the inherent properties of hydrogen atoms, such as their spin states. There is an emphasis on the educational value of the discussion for others who may have similar questions.

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Homework Statement



http://whoisntdavidrinaldi.com/physics/split.png

Homework Equations



AxB=C

The Attempt at a Solution



I understand that the beam splits, but why does it not split horizontally? If I hold my index finger to the page with my middle finger up then my thumb is either left or right..
 
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Since the beam of hydrogen atoms electrically neutral, the Lorentz force law doesn't come explicitly into play. It is the magnetic dipole moments of the hydrogen atoms which determine which way the beam deflects.

Because the magnetic field is oriented vertically, the torque on the hydrogen atoms is such as to align their magnetic moments vertically (or at least precess about the vertical axis. However, because this magnetic field is not constant over the length of each atom, the atoms experience a net force as well, deflecting them either upward or downward depending on their magnetic moments.

Since a hydrogen atom in its ground state is equally likely to be spin-up or spin-down, we see the beam deflected into two equally intense halves.
 
i want to delete this post
 
I'm sorry if my answer was unsatisfactory, but isn't that overdoing it?
 
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jfizzix said:
I'm sorry if my answer was unsatisfactory, but isn't that overdoing it?

No your answer was perfect, I responded but re-read your post and it answered the question I thought I had. Not knowing how to delete my post I just edited my answered follow up question to "id like to delete this post"

the answer was great, I thank you
 
Please do NOT delete threads after they have been answered. Others have the same questions and can learn from the answers.
 
Kidphysics said:
No your answer was perfect, I responded but re-read your post and it answered the question I thought I had. Not knowing how to delete my post I just edited my answered follow up question to "id like to delete this post"

the answer was great, I thank you

As Halls said, it is our policy to not delete posts after they have received help. And if you do so yourself, you could receive an infraction for it.
 

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