Answer: Neutron Interference: Understanding Kinetic Energy

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Homework Help Overview

The discussion revolves around understanding the kinetic energy of neutrons in the context of interference patterns and detection. Participants are exploring the relationship between the energy of neutrons and the resulting detection outcomes in a quantum mechanics framework.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to relate the kinetic energy of neutrons to the interference patterns observed by the detector. There are questions about the conditions under which the detector might register a maximum signal and the implications of energy changes during the neutron's path.

Discussion Status

The discussion is ongoing, with participants expressing confusion and seeking clarification on the concepts involved. Some have provided insights into the need for considering phase differences and the role of quantum mechanics, indicating a productive direction in the exploration of the problem.

Contextual Notes

There is mention of a tilt angle affecting the detection outcome, and participants are grappling with the implications of energy changes and phase differences in the context of the problem. Specific details from the original question are not provided, which may limit the discussion.

aryan pandey
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Homework Statement


the question details are given in the attachment

Homework Equations


momentum = √2mE where m is mass of neutron and E is its kinetic energy

The Attempt at a Solution


initially i accounted for the energy change during the path followed by the neutron but later i got confused and is stuck up in the problem for few hours .
i am not able to understand why the detector will detect a maximum . and how to relate the kinetic energy of the neutron in this question .
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aryan pandey said:
initially i accounted for the energy change during the path followed by the neutron but later i got confused and is stuck up in the problem for few hours .
i am not able to understand why the detector will detect a maximum . and how to relate the kinetic energy of the neutron in this question .
There is no way to tell what went wrong if you don't show your work.

The detector does not have to see a maximum - it will depend on the tilt angle.
 
i have no idea whatsoever in order to proceed in the question .
i looking forward for a way out in this question , not the exact solution.
you might understand my dilemma
thank you..
 
Well, what did you do so far?

You mentioned an energy change. How large is that?

Phase differences and interference mean you'll need quantum mechanics. What can you say about the phase of neutrons moving at a known momentum? How does that work out for the two paths, and especially for their difference?
 

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