Answer: Neutron Interference: Understanding Kinetic Energy

[aryan pandey]

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 .

 

[mfb]

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.

 

[aryan pandey]

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..

 

[mfb]

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?