Neutron velocity selector and rotational speed of shaft

AI Thread Summary
To determine the rotational speed of the shaft connecting two disks in a neutron velocity selector, first calculate the speed of the neutrons based on the target wavelength of 1 angstrom. Next, find the time it takes for the neutrons to travel the 0.5m distance between the two slots. This time is then used to compute the angular speed required for the disks, taking into account that the second disk lags the first by 10 degrees. The calculations involve converting the linear speed of the neutrons into angular speed using the geometry of the setup. Understanding these relationships is crucial for solving the problem effectively.
argonsonic
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Homework Statement



Suppose that there is a beam of neutrons with a range of wavelengths. One intends to produce neutrons of single wavelength by the use of neutron mechanical velocity selector.

The question is, if the slot in the disk B (second disk) of the selector lags the slot in the disk A by 10 degrees, and two disks are separated by 0.5m, how do you calculate how fast should the shaft that connects the disks rotate? (target wavelength as 1 angstrom as an example.)

I am just getting lost, so I ask for your help.

Homework Equations

The Attempt at a Solution

 
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If you know the wavelength of the neutron, then you should be able to find the speed of the neutron. With that speed, how much time would it take to travel the distance from one slit to the other? How would you use this time to find the angular speed of the disks?
 
Thanks. I got it.
 
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