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JEE Main 202523 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
23 January
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2025 · 23 January · Evening Shift · Physics · Mechanical Properties of Fluids

Water flows in a horizontal pipe whose one end is closed with a...

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 P1P_1. The reading of the pressure gauge falls to P2P_2 when the valve is opened. The speed of water flowing in the pipe is proportional toWater flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to

Options

  1. AP1−P2P_1-P_2
  2. B(P1−P2)4\left(P_1-P_2\right)^4
  3. C(P1−P2)2\left(\mathrm{P}_1-\mathrm{P}_2\right)^2
  4. DP1−P2\sqrt{\mathrm{P}_1-\mathrm{P}_2}

Correct answer

D. P1−P2\sqrt{\mathrm{P}_1-\mathrm{P}_2}

Step-by-step solution

Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to
Using Bernoulli's theorem P1−P2=12ρv2v∝P1−P2\begin{aligned} & P_1-P_2=\frac{1}{2} \rho v^2 \\ & v \propto \sqrt{P_1-P_2} \end{aligned}
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