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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

Water is flowing in streamline manner in a horizontal pipe. If the pressure at a point where cross-sectional area is \(10 \mathrm{~cm}^2\) and velocity \(1 \mathrm{~ms}^{-1}\) is 2000 Pa , then the pressure of water at another point where the cross-sectional area \(5 \mathrm{~cm}^2\) is

  1. A 2500 Pa
  2. B 2000 Pa
  3. C 1000 Pa
  4. D 500 Pa
Verified Solution

Answer & Solution

Correct Answer

(D) 500 Pa

Step-by-step Solution

Detailed explanation

By equation of continuity \(\begin{aligned} & A_1 V_1=A_2 V_2 \\ & \Rightarrow 10 \times 1=5 v_2 \Rightarrow v_2=2 \mathrm{~m} / \mathrm{s} \end{aligned}\) Applying Bernoulli's theorem at point 1 and 2 ,…