What is path length difference?

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The discussion centers on the concept of "it" in relation to integrals and physics. In mathematical contexts, integration can follow various paths to simplify calculations. In physics, particularly in studying interference patterns, "it" refers to the difference in distance traveled by waves or secondary wavelets. Understanding these distinctions is crucial for applying integrals effectively in both mathematics and physics. Clarity in context is essential for accurate interpretation.
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My text keeps referring to it but I have no idea what it refers to.
 
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Depends on the context. But in the context of integrals, you can often have your integration follow different paths for the convenience of the math.
 
In physics when studying interference patterns it is simply the difference in distance traveled between two waves or secondary wavelets/

~H
 
Thread 'What is the pressure of trapped air inside this tube?'

Thread 'What is the pressure of trapped air inside this tube?'

As you can see from the picture, i have an uneven U-shaped tube, sealed at the short end. I fill the tube with water and i seal it. So the short side is filled with water and the long side ends up containg water and trapped air. Now the tube is sealed on both sides and i turn it in such a way that the traped air moves at the short side. Are my claims about pressure in senarios A & B correct? What is the pressure for all points in senario C? (My question is basically coming from watching...
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