May/June 2026 Paper 13

2026 · 40 questions · 40 parts · 40 marks

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14Density PressureHard1 mark
A U-tube has a left arm of cross-sectional area A and a right arm of cross-sectional area 4A. The tube contains water of density 1000 kg m and oil of density 850 kg m as shown.
a U-tube with a narrower left arm and a wider right arm, containing water (lighter shading) that fills the base of the tube and rises partway up both arms, with a column of oil (darker shading) of length 30.0 cm sitting on top of the water in the left arm; x marks the height difference between the top of the oil column in the left arm and the water surface in the right arm
The column of oil on top of the water in the left-hand arm is of length 30.0 cm.
What is the difference in height x between the levels in the two arms of the tube?