Communicating Vessels #1

Classical Mechanics Level 3

There are 2 similar communicating vessels, each contains 2 different liquids that aren't miscible in each other. The liquids are separated by a valve and at the same height $H$ . Open the valve.

The specific gravity of the vessel 1 is bigger than the specific gravity of the vessel 2 (or $d_{1} > d_{2}$ ). Neglect the capacity of the part connecting 2 vessels altogether.

Find the difference between the liquid level of 2 vessels after waiting for a while.

Part 3 Part 2

\frac{H(d_{1}-d_{2})}{d_{2}}

\frac{(d_{1}-d_{2})(d_{1}+d_{2})}{H}

H

\frac{H(d_{1}-d_{2})}{d_{1}}

\frac{(d_{2}-d_{1})(d_{1}+d_{2})}{H^{2}}

None of the others are correct.

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Communicating Vessels #1

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