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    Question

    A fluid is flowing steadily through a horizontal pipe of

    varying cross-section. According to Bernoulliā€™s principle, the pressure is:
    A Highest where speed is highest Correct Answer Incorrect Answer
    B Highest where speed is lowest Correct Answer Incorrect Answer
    C Constant throughout Correct Answer Incorrect Answer
    D Independent of cross-section Correct Answer Incorrect Answer

    Solution

    According to Bernoulliā€™s principle, for an incompressible, non-viscous fluid flowing through a horizontal pipe, the total mechanical energy (pressure energy + kinetic energy + potential energy) per unit volume remains constant. In a horizontal pipe, potential energy remains constant, so the relation simplifies to: Where:

    • P = pressure
    • Ļ = fluid density
    • v = speed of fluid
    This implies an inverse relationship between pressure and speed:
    • If speed increases, pressure decreases
    • If speed decreases, pressure increases
    Thus, the pressure is highest where the speed is lowest .

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