Answer: Neutron Interference: Understanding Kinetic Energy

Click For Summary
SUMMARY

The discussion centers on understanding neutron interference in relation to kinetic energy, specifically using the equation momentum = √2mE, where m represents the mass of the neutron and E its kinetic energy. Participants express confusion regarding the detection of maximum interference and the relationship between kinetic energy and the neutron's path. Key insights include the importance of phase differences and the necessity of quantum mechanics to analyze the interference patterns effectively. The conversation emphasizes the need for clarity in calculations and understanding the impact of tilt angles on detection outcomes.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Understanding of neutron properties and behavior
  • Basic principles of interference and phase differences
  • Familiarity with momentum and kinetic energy equations
NEXT STEPS
  • Study quantum mechanics principles related to particle interference
  • Explore neutron behavior in various potential energy scenarios
  • Learn about phase differences in wave mechanics
  • Investigate the effects of tilt angles on interference patterns
USEFUL FOR

Students and educators in physics, particularly those focusing on quantum mechanics, particle physics, and interference phenomena. This discussion is beneficial for anyone seeking to deepen their understanding of neutron behavior and kinetic energy relationships in experimental setups.

aryan pandey
Messages
9
Reaction score
0

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 .
FullSizeRender.jpg
 
Physics news on Phys.org
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?
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
2K
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 20 ·
Replies
20
Views
6K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
5
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
3
Views
2K
  • · Replies 20 ·
Replies
20
Views
3K