The effects of diameter changes to a manometer.

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SUMMARY

The diameter of a manometer does not affect the pressure at the bottom of the column when the liquid's mass, density, and gravitational field strength remain constant. The height difference in the liquid levels is determined solely by the density of the liquid and the vertical distance to the surface. This principle holds true regardless of the tube's diameter, except in cases where capillary action becomes significant in very narrow tubes. Therefore, the liquid level difference remains consistent across different tube gauges.

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  • Understanding of fluid mechanics principles
  • Knowledge of pressure concepts in liquids
  • Familiarity with manometer design and function
  • Basic mathematical skills for calculating height differences
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  • Learn about capillary action and its effects in narrow tubes
  • Explore different types of manometers and their applications
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How does the diameter change from one manometer say of radius x cm to say 2x or 3x cm change the height difference if the liquid in the manometer is of constant mass, density and gravitational field strength remains the same?

P.S could some working also be shown just to get a mathematical insight.
Reply asap please! :D
 
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The pressure at the bottom of a column is not dependent upon the diameter of the tube (except when it is so narrow that capillary action becomes significant). What counts is the density of the liquid and the vertical distance to the surface (and g, of course).

The difference between the levels of liquid in a manometer will be the same, whatever gauge of tube you use - even if one side is different from the other.

This link is a bit 'noddy' but the various pictures show what I mean.
 

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