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NEET2015PhysicsMechanical Properties of FluidsActual

The cylindrical tube of a spray pump has radius R , one end of which has n fine holes, each of radius r . If the speed of the liquid in the tube is V , the speed of the ejection of the liquid through the holes is :

Options

  1. AV R 2 n r 2
  2. BV R 2 n 3 r 2
  3. CV 2 R n r
  4. DV R 2 n 2 r 2

Correct answer

A. V R 2 n r 2

Step-by-step solution

Volume inflow rate = volume an flow rate π R 2 V = n π r 2 ⇒ v = π R 2 V n π r 2 = V R 2 n r 2

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