An impermeable membrane (See figure above) is placed at the bottom of a U-tube, then equal amounts of water and oil are poured at each limb of the tube such that the height on both sides reads 16.7cm. If the impermeable membrane is removed, calculate the height difference in cm of the U-tube, assuming a uniform cross-sectional area of the U- tube, and given that the specific gravity of oil is 0.735.

An impermeable membrane (See figure above) is placed at the bottom of a U-tube, then equal amounts of water and oil are poured at each limb of the tube such that the height on both sides reads 16.7cm. If the impermeable membrane is removed, calculate the height difference in cm of the U-tube, assuming a uniform cross-sectional area of the U- tube, and given that the specific gravity of oil is 0.735.