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Pressure in U-tube

  • Thread starter songoku
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  • #1
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Homework Statement


Two liquids A and B of densities 1.0 g cm-3 and 0.8 g cm-3 are poured into an U-tube as shown in the figure below. Find x !

untitled.jpg


Homework Equations


[tex]P = \rho g h[/tex]


The Attempt at a Solution


Is it possible liquid A is on top of liquid B because A has higher density than B?

Or do I misinterpret the question? Is it possible the question means density of A is 0.8 g cm-3 and B is 1.0 g cm-3 because there is no word "respectively" ?

Thanks
 

Answers and Replies

  • #2
Doc Al
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Is it possible liquid A is on top of liquid B because A has higher density than B?
Sure, why not? Look at the diagram. Note that the height of liquid A is less than that of liquid B. There's a reason for that!
 
  • #3
kuruman
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The statement looks correct, A is more dense than B. At the line PQ the pressure is the same. So more height of liquid above point P is needed to maintain the pressure the same as at point A.
 
  • #4
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Hi Doc Al and kuruman

Oh so it's possible that liquid with higher density is on top of liquid with lower density. I always think it's impossible.

I get it now. Thanks a lot Doc Al and kuruman ^^
 
  • #5
ideasrule
Homework Helper
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Hi Doc Al and kuruman

Oh so it's possible that liquid with higher density is on top of liquid with lower density. I always think it's impossible.

I get it now. Thanks a lot Doc Al and kuruman ^^
Just imagine an iron piston pressing down on water in the U-tube and you'll see why it's possible.
 

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