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  4. An incompressible liquid flows through a horizontal tube as shown in the following figure. Then the velocity v of the fluid is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-dnlblifnijx0.png /> ​

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Q. An incompressible liquid flows through a horizontal tube as shown in the following figure. Then the velocity $v$ of the fluid is

Question ​

NTA AbhyasNTA Abhyas 2020

Solution:

Volume flowing per second in left tube
= volume flowing per second 1st branch tube + volume flowing per second in 2nd branch tube
$Av_{1}=Av_{2}+1.5 \, Av$
$A\times 3=A\times 1.5+1.5 \, Av$
$v=1 \, m/s$