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JEE Main202523 Jan 2025Evening ShiftPhysicsMechanical Properties of FluidsActual

Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is P₁ . The reading of the pressure gauge falls to P₂ when the valve is opened. The speed of water flowing in the pipe is proportional to

Options

  1. AP₁-P₂
  2. B(P₁-P₂ )^4
  3. C( P ₁- P ₂ )^2
  4. DP ₁- P ₂

Correct answer

D. P ₁- P ₂

Step-by-step solution

Using Bernoulli's theorem aligned & P₁-P₂= 1 2 v^2 & v P₁-P₂ aligned

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