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A heavy liquid with a density 13 g/cm3 is poured into a U-tube as shown in the left- hand figure below. The

left-hand arm of the tube has a cross-sectional area of 8.23 cm2, and the right-hand arm has a cross-sectional area of 4.66 cm2. A quantity of 108 g of a light liquid with a density 0.83 g/cm3 is then poured into the right-hand arm as shown in the right-hand figure below. Determine the height L of the light liquid in the column in the right arm of the U-tube, as shown in the second figure above.

Answer in units of cm.

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