Moderate

Water is flowing through a tube of non-uniform cross- section. Ratio of the radius at entry and exit end of the pipe is 3:2. Then the ratio of velocities at entry and exit of liquid is:

Correct answer: A. 4:9

  • A. 4:9
  • B. 9:4
  • C. 8:27
  • D. 1:1

Explanation

v ∝ 1/A and A ∝ r². With r1:r2 = 3:2 ⇒ A1:A2 = 9:4 ⇒ v1:v1 = A2: A1= 4:9.

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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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