Answer: 8 cm.
- A 12.5 cm
- B 8 cm
- C 6.4 cm
- D 10 cm
Correct answer: B. 8 cm
Explanation: Equal pressures give ρ<sub>oil</sub>h<sub>oil</sub> = ρ<sub>w</sub>h<sub>w</sub>, so h<sub>w</sub> = 800 × 10 / 1000 = 8 cm.
Since the same volume of fluid must pass every cross-section per second (continuity), the fluid speeds up where the pipe narrows; Bernoulli's equation then says this faster-moving fluid has lower pressure - the principle behind a venturi meter and an aircraft wing's lift.
Concept context
Pressure, buoyancy, Bernoulli equation, viscosity, and surface tension.