A rocket is made to travel at a high speed by making the ejection nozzle narrow. This phenomenon is based on
Correct answer: D. Equation of continuity.
- A. Turbulent flow.
- B. Terminal velocity.
- C. Torricelli's theorem.
- D. Equation of continuity.
Explanation
The correct answer is the equation of continuity. This principle of fluid dynamics explains that as a fluid flows through a pipe, if the pipe narrows, the fluid must speed up to maintain the same flow rate. This concept is applied in rocket propulsion, where the narrow ejection nozzle increases the velocity of the exhaust gases, propelling the rocket forward. The other options are incorrect because they do not describe this specific fluid dynamics principle. Turbulent flow refers to chaotic fluid motion, terminal velocity is about free-falling objects, and Torricelli's theorem deals with fluid discharge under gravity.
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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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