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KCET2025PhysicsMechanical Properties of Fluids

A horizontal pipe carries water in a streamlined flow. At a point along the pipe, where the cross-sectional area is 10 ~cm ⁻² , the velocity of water is 1 ~ms ⁻¹ and the pressure is 2000 Pa . What is the pressure of water at another point where the cross-sectional area is 5 ~cm ^2 ? [Density of water =1000 kgm ⁻³ ]

Options

  1. A300 Pa
  2. B400 Pa
  3. C500 Pa
  4. D200 Pa

Correct answer

C. 500 Pa

Step-by-step solution

aligned & A₂ V₂=A₁ V₁ V₂= A₁ V₁ A₂ = 10 1 5 =2 ~m / s & P₂+ 1 2 P V₂^2=P₁+ 1 2 P V₁^2 & P₂=2000+ 1 2 1000 (1^2-2^2 )=500 ~Pa aligned

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