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

Question

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" /> ​ (A) 3.0 text m / texts (B) 1.5 text m / texts (C) 1.0 text m / texts (D) 2.25 text m / texts

Tardigrade Admin · Accepted Answer

Volume flowing per second in left tube = volume flowing per second 1st branch tube + volume flowing per second in 2nd branch tube Av1=Av2+1.5 Av A× 3=A× 1.5+1.5 Av v=1 m/s

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

$3.0 m / s$

$1.5 m / s$

$1.0 m / s$

$2.25 m / s$

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

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

3.0 m/s

1.5 m/s

1.0 m/s

2.25 m/s