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On which of these following options is the continuity equation based?
- a)Work energy theorem
- b)Law of conservation of energy
- c)Conservation of mass
- d)Conservation of momentum
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
On which of these following options is the continuity equation based?a...
The continuity equation is based on the conservation of mass. We consider that fluid is incompressible (constant density) and say that mass of fluid passing through 2 different regions at the same time is the same.
∴ density X Vol1 = density X Vol2.
∴ Vol1 = Vol2.
∴ A1v1Δt = A2v2Δt
∴ A1v1 = A2v2.
∴ density X Vol1 = density X Vol2.
∴ Vol1 = Vol2.
∴ A1v1Δt = A2v2Δt
∴ A1v1 = A2v2.
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On which of these following options is the continuity equation based?a...
Understanding the Continuity Equation
The continuity equation is a fundamental principle in fluid mechanics that expresses the conservation of mass in a fluid flow system.
Key Concepts of the Continuity Equation:
- Mass Conservation:
- The continuity equation states that for an incompressible fluid, the mass flow rate must remain constant from one cross-section of a flow to another.
- Mathematically, this is represented as A1V1 = A2V2, where A is the cross-sectional area and V is the fluid velocity.
- Application in Fluid Dynamics:
- The equation is pivotal in analyzing fluid behavior in pipes, nozzles, and other applications where fluid flows through varying cross-sectional areas.
- It ensures that the amount of fluid entering a section equals the amount leaving, thus preventing loss or accumulation in that section.
Why Option 'C' is Correct:
- Connection to Conservation of Mass:
- The continuity equation is directly derived from the principle of conservation of mass, which states that mass cannot be created or destroyed in a closed system.
- Hence, the correct answer is option 'C' (Conservation of mass), as the continuity equation fundamentally relies on this principle.
Summary:
- The continuity equation embodies the concept of mass conservation in fluid dynamics.
- It is crucial for ensuring that fluid flow is analyzed correctly, reflecting the unchanged total mass as it moves through various sections of a flow system.
- Its application is essential in engineering and physics, making it a cornerstone of fluid mechanics.
The continuity equation is a fundamental principle in fluid mechanics that expresses the conservation of mass in a fluid flow system.
Key Concepts of the Continuity Equation:
- Mass Conservation:
- The continuity equation states that for an incompressible fluid, the mass flow rate must remain constant from one cross-section of a flow to another.
- Mathematically, this is represented as A1V1 = A2V2, where A is the cross-sectional area and V is the fluid velocity.
- Application in Fluid Dynamics:
- The equation is pivotal in analyzing fluid behavior in pipes, nozzles, and other applications where fluid flows through varying cross-sectional areas.
- It ensures that the amount of fluid entering a section equals the amount leaving, thus preventing loss or accumulation in that section.
Why Option 'C' is Correct:
- Connection to Conservation of Mass:
- The continuity equation is directly derived from the principle of conservation of mass, which states that mass cannot be created or destroyed in a closed system.
- Hence, the correct answer is option 'C' (Conservation of mass), as the continuity equation fundamentally relies on this principle.
Summary:
- The continuity equation embodies the concept of mass conservation in fluid dynamics.
- It is crucial for ensuring that fluid flow is analyzed correctly, reflecting the unchanged total mass as it moves through various sections of a flow system.
- Its application is essential in engineering and physics, making it a cornerstone of fluid mechanics.
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On which of these following options is the continuity equation based?a)Work energy theoremb)Law of conservation of energyc)Conservation of massd)Conservation of momentumCorrect answer is option 'C'. Can you explain this answer?
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On which of these following options is the continuity equation based?a)Work energy theoremb)Law of conservation of energyc)Conservation of massd)Conservation of momentumCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about On which of these following options is the continuity equation based?a)Work energy theoremb)Law of conservation of energyc)Conservation of massd)Conservation of momentumCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On which of these following options is the continuity equation based?a)Work energy theoremb)Law of conservation of energyc)Conservation of massd)Conservation of momentumCorrect answer is option 'C'. Can you explain this answer?.
On which of these following options is the continuity equation based?a)Work energy theoremb)Law of conservation of energyc)Conservation of massd)Conservation of momentumCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about On which of these following options is the continuity equation based?a)Work energy theoremb)Law of conservation of energyc)Conservation of massd)Conservation of momentumCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On which of these following options is the continuity equation based?a)Work energy theoremb)Law of conservation of energyc)Conservation of massd)Conservation of momentumCorrect answer is option 'C'. Can you explain this answer?.
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