What does "minimum range of uncertainty" mean in QM?

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The discussion revolves around the concept of "minimum range of uncertainty" in quantum mechanics, particularly in relation to the behavior of photons passing through a single slit. It highlights the challenge of determining the size of the spot where photons hit a screen after passing through the slit. The uncertainty principle indicates that there is a limit to how precisely the position and momentum of the photons can be known simultaneously. This uncertainty affects the spread of the photon impact on the screen, leading to a minimum size for the resulting spot. Understanding this principle is crucial for solving the problem presented.
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Homework Statement


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The problem on where the photon will hit a screen, after passing through a single horizontal slit.

I know the wavelength, slit width, magnitude of momentum of incoming photon (calculated), and distance between screen and slit.

Homework Equations



I just don't understand what the question is asking. What does minimum range of uncertainty mean?
 
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If you send a bunch of photons through the slit, you'll get a spot on the screen. The problem is essentially asking you to find the size of that spot. There's a limit to how small the spot will be because of the uncertainty in the component of the photon's momentum parallel to the slit.
 
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