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MHT CET · Physics · Mechanical Properties of Fluids

An incompressible fluid flows steadily through a cylindrical pipe having radius \(R\) at point \(A\) and \(\left(\frac{R}{3}\right)\) at point \(B\) further along the direction of flow of liquid. If the velocity at point A is ' V ' then that at point \(B\) is

  1. A \(\frac{V}{9}\)
  2. B \(\frac{v}{3}\)
  3. C 3V
  4. D 9V
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Answer & Solution

Correct Answer

(D) 9V

Step-by-step Solution

Detailed explanation

\(A_A v_A = A_B v_B\) \(\pi R^2 V = \pi \left(\frac{R}{3}\right)^2 v_B\)
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