Moderate

An incompressible liquid flows along the pipe with the area of cross-section A₁ and A₂ with velocities V₁ and V₂ respectively. The ratio of the speeds V₁/V₂ is:

Correct answer: B. A₂/A₁

  • A. A₁/A₂
  • B. A₂/A₁
  • C. √A₁/A₂
  • D. √A₂/A₁

Explanation

Continuity for incompressible flow gives A₁V₁ = A₂V₂ ⇒ V₂/V₁= A₁ /A₂ . Thus the speeds are inversely proportional to thecross-sectional areas.

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Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.

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