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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

Two water pipes of diameter \(2 \mathrm{~cm}\) and \(4 \mathrm{~cm}\) are separately connected to a main supply line. The velocity of flow of water in the pipe of \(2 \mathrm{~cm}\) diameter is

  1. A 4 times that in the other pipe
  2. B \(\frac{1}{4}\) times that in the other pipe
  3. C 2 times that in the other pipe
  4. D \(\frac{1}{2}\) times that in the other pipe
Verified Solution

Answer & Solution

Correct Answer

(A) 4 times that in the other pipe

Step-by-step Solution

Detailed explanation

Diameter of first pipe, \(d_1=2 \mathrm{~cm}\) \(\therefore\) Radius, \(r_1=1 \mathrm{~cm}=10^{-2} \mathrm{~cm}\) Diameter of second pipe, \(d_2=4 \mathrm{~cm}\) \(\therefore \quad r_2=2 \mathrm{~cm}=2 \times 10^{-2} \mathrm{~m}\) If \(v_1\) and \(v_2\) are the velocities of…