Pressure diffence between water column in capillary tube and open vessel

AI Thread Summary
In a capillary tube, water rises to a certain height due to surface tension, creating a pressure difference between points P and Q. The pressure at points P and Q is the same because they are at the same height in the fluid column, despite the influence of surface tension. The upward force from surface tension is balanced by the weight of the water column, leading to the conclusion that pressures at equal heights in a fluid are equal. Surface tension plays a role in determining the height of the water column but does not affect the pressure at the same height. Understanding this relationship is crucial for solving capillary action problems.
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Homework Statement



It is known that water in a capillary will rise to a certain height, as shown in the figure. Comparing the points P and Q, which point exhibit larger pressure?
a. P
b. Q
c. The pressure of P and Q are the same


Homework Equations


F_upward=2*pi*R*T*cos⁡θ
W=pi*R^2* ρgh
as upward force is counteracted by the weight of water
therefore the height of the column, h=(2T*cos⁡θ)/Rρg

The Attempt at a Solution


I think the pressure of P and Q should be same as they are at the same height, but can anyone give me an explanatory term for it?

Should I consider the surface tension and so on for this question ??
 
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It would not hurt to have a description of points P and Q or better yet a picture.
 

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