Does the Diameter of a Barometer Tube Affect the Height of the Mercury Column?

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SUMMARY

The diameter of a barometer tube does not affect the height of the mercury column, as confirmed in the discussion. The critical factor influencing the height is the pressure at the bottom of the column, not the inner diameter (ID) of the tube. Both tapering and constant ID tubes yield the same mercury height, provided the pressure remains constant. This principle is fundamental to understanding the operation of Toricellian mercury barometers.

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praveenbm5
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I am curious if the height of the Mercury column inside a Toricellian Mercury Barometer be the same if we use a tapering / stepped (unequal inner diameter [ID]) glass tube as depicted in the image below instead of a regular constant ID one?

Note: I know that the ID of a barometer tube does not affect the Mercury column height as long as the ID of the tube remains the same.

P1NWhDr.png
 
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The only relevant thing is the pressure at the bottom of the column, i.e., the height of the column. Whether the diameter changes or not is irrelevant.
 
Orodruin said:
The only relevant thing is the pressure at the bottom of the column, i.e., the height of the column. Whether the diameter changes or not is irrelevant.

Thank you for the quick clarification. Physics Forums rocks :smile:
 

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