According to the Equation of Continuity in fluid dynamics, when water flows through a pipe of varying cross-section, the velocity of the fluid is: MCQ with Answer and Explanation

According to the Equation of Continuity in fluid dynamics, when water flows through a pipe of varying cross-section, the velocity of the fluid is:
A. Directly proportional to the cross-sectional area.
B. Independent of the cross-sectional area.
C. Directly proportional to the square of the cross-sectional area.
D. Inversely proportional to the cross-sectional area.
Answer: Option D
Solution (By JKExamLibrary)
The Equation of Continuity states that for an incompressible, non-viscous fluid in streamlined flow, the mass flow rate is constant. Therefore, A1V1 = A2V2, where A is the area of cross-section and V is the velocity. This means V is inversely proportional to A (V ∝ 1/A). As the pipe narrows, the fluid speeds up.

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