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KCET2010PhysicsMechanical Properties of Fluids

Water is in streamline flows along a horizontal pipe with non-uniform cross-section. At a point in the pipe where the area of cross-section is 10 ~cm ² , the velocity of water is 1 ~ms ⁻¹ and the pressure is 2000 ~Pa . The pressure at another point where the cross-sectional area is 5 ~cm ² is

Options

  1. A4000 ~Pa
  2. B2000 ~Pa
  3. C1000 ~Pa
  4. D500 ~Pa

Correct answer

D. 500 ~Pa

Step-by-step solution

According to equation of continuity aligned A ₁ v ₁ &= A ₂ v ₂ 10 1 &=5 v ₂ v ₂ &=2 ~m / s p ₁ + v ₁² 2 &= p ₂ + v ₂² 2 2000 1000 + 1² 2 &= p ₂ 1000 + 2² 2 p ₂ &=500 ~Pa aligned

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