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Simple Barometer

In this case, if we slant the tube, then more mercury is present in the tube which would cause more pressure at the bottom, but the height of mercury remains the same which according to Pascal's law dives the same pressure = rhoxgxh. I could relate this case to one of those cases of Hydrostatic Paradoxes, but I could not understand how the principle of hydrostatic paradox applies here.

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    $\begingroup$ Why does slanting the tube increase the volume of mercury in the tube? how did you prove that? $\endgroup$
    – Solar Mike
    May 25, 2023 at 17:53
  • $\begingroup$ what would be the height of the mercury if the tube was two meters in diameter? $\endgroup$
    – jsotola
    May 25, 2023 at 21:11

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it's measured in the height of mercury, not the length of mercury.

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No because the side of the test tube is supporting the mercury when it is slanted. The force due to gravity pulling the mercury out the bottom of a slanted tube is mass×cos(Ѳ)x9.8m/s^2 when Ѳ is the angle of the tube away from a vertical position.

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