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📝 Fluid Pressure

📖 From Calculus • 7. Applications of the Definite Integral In Geometry, Science, and Engineering • 22 questions available

Practice MCQs for Fluid Pressure. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

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📝 Sample Questions

Q1. What is the equation for hydrostatic pressure at a depth \(h\) in a fluid of density \(\rho\)?

🔹 A. \(P = \rho g h\)

🔹 B. \(P = \frac{\rho}{g} h\)

🔹 C. \(P = \frac{\rho h}{g}\)

🔹 D. \(P = \frac{g}{\rho h}\)

💡 Difficulty: easy | ✅ Correct: A

Q2. A flat, circular plate of radius 0.5 m is submerged vertically so its top edge is 0.2 m below the fluid surface. What is the magnitude of the hydrostatic force on the plate?

🔹 A. \(1,470\ \text{N}\)

🔹 B. \(2,940\ \text{N}\)

🔹 C. \(3,675\ \text{N}\)

🔹 D. \(4,410\ \text{N}\)

💡 Difficulty: medium | ✅ Correct: B

Q3. A fluid with density varying with depth as \(\rho(y)=\rho_0 e^{-\alpha y}\) is under a column of height \(H\). Derive an expression for the pressure at the bottom in terms of \(\rho_0\), \(\alpha\), \(g\), and \(H\).

🔹 A. \(P = \rho_0 g \frac{1-e^{-\alpha H}}{\alpha}\)

🔹 B. \(P = \rho_0 g \alpha H\)

🔹 C. \(P = \rho_0 g e^{-\alpha H}\)

🔹 D. \(P = \frac{\rho_0 g}{\alpha}(e^{\alpha H}-1)\)

💡 Difficulty: hard | ✅ Correct: A

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🔗 Related Topics

📝 Approximating Roots 📝 Areas and Limits 📝 Continuity in Applications 📝 Continuity of Compositions 📝 Continuity of Inverse Functions

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