Two identical vessel communicating with the piston part

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Two identical vessel communicating with the piston partially filled with a liquid with a density p. The distance from the liquid piston surfaces are the same and are H. One of the pistons is fixed, and the second raised to a height h. At what height h difference in fluid levels in vessels is equal to H? The initial air pressure in each vessel equal to p.

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Task 20711. Detailed recording solution formulas and the laws used in the decision.
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