Conservation of mass of fluid flow leads to:
Correct answer: D. Equation of continuity
- A. Bernoulli's equation
- B. Venturi meter
- C. Equation of motion
- D. Equation of continuity
Explanation
The correct answer is D) Equation of continuity, as it directly expresses the conservation of mass in fluid flow. This principle ensures that the mass of fluid entering a section of a pipe equals the mass leaving it, represented by the formula A1V1 = A2V2. Option A) Bernoulli's equation, while significant, deals with energy conservation, not mass. Option B) Venturi meter is a device that applies Bernoulli's principle to measure flow rate, not directly related to mass conservation. Option C) Equation of motion is irrelevant to fluid dynamics in this context, as it pertains to solid objects and forces.
This question appeared on the UHS MDCAT 2010 paper, which you can sit online with every answer explained.
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About Equation of Continuity
The equation of continuity expresses conservation of mass in fluid flow. For steady incompressible flow, Av remains constant, so fluid speed increases when the cross-sectional area decreases; for compressible flow, ρAv is constant. This relation describes flow rate and area-speed changes without including pressure effects from Bernoulli’s equation.
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