Answer: 1 cm.
- A 1 cm
- B 50 cm
- C 100 cm
- D 0.02 cm
Correct answer: A. 1 cm
Explanation: Volume conservation: A<sub>1</sub> × d<sub>1</sub> = A<sub>2</sub> × d<sub>2</sub>. 1 × 50 = 50 × d<sub>2</sub>. d<sub>2</sub> = 1 cm. Energy is conserved: work in = work out (ideal case).
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.