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      Question

      A fluid is flowing steadily through a horizontal pipe of

      varying cross-section. According to Bernoulli’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 Bernoulli’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
      • ρ = 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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