Pressure In Fluid
Easyphysics
Pressure increase with depth h in incompressible fluid?
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Solution
Incorrect! Answer:
ρ g h
- Hydrostatic Pressure: Consider a parcel of fluid at rest. The weight of the fluid column above it exerts downward pressure.
- Derivation: P=Force/Area=(Mass×g)/A=(ρ×Volume×g)/A.
- Volume link: Since Volume =A×h:
- P=Aρ(Ah)g=ρgh.
- Conclusion: In a stationary incompressible fluid, the gauge pressure increases linearly with depth as ρgh.
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About This Question
- Subject
- physics
- Chapter
- properties of solids and liquids
- Topic
- pressure in fluid
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
ρ g h
- Hydrostatic Pressure: Consider a parcel of fluid at rest. The weight of the fluid column above it exerts downward pressure.
- Derivation: P=Force/Area=(Mass×g)/A=(ρ×Volume×g)/A.
- Volume link: Since Volume =A×h:
- P=Aρ(Ah)g=ρgh.
- Conclusion: In a stationary incompressible fluid, the gauge pressure increases linearly with depth as ρgh.
This easy difficulty physics question is from the chapter properties of solids and liquids, covering the topic of pressure in fluid. It appeared in the 2025 exam.
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