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

Question

An incompressible liquid flows through a horizontal tube as shown in the 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-q4w6zoxfdyydshja.jpg" /> (A) 3.0ms- 1 (B) 1.5ms- 1 (C) 1.0ms- 1 (D) 2.25ms- 1

Tardigrade Admin · Accepted Answer

If the liquid is incompressible then mass of liquid entering through left end, should be equal to mass of liquid coming out from the right end.

∴ M = m_{1} + m_{2} \Rightarrow A v_{1} = A v_{2} + 1.5 A . v

\Rightarrow A \times 3 = A \times 1.5 + 1.5 A . v \Rightarrow v = 1 m s^{- 1}

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

$3.0 m s^{- 1}$

$1.5 m s^{- 1}$

$1.0 m s^{- 1}$

$2.25 m s^{- 1}$

If the liquid is incompressible then mass of liquid entering through left end, should be equal to mass of liquid coming out from the right end.
$∴ M = m_{1} + m_{2} \Rightarrow A v_{1} = A v_{2} + 1.5 A . v$
$\Rightarrow A \times 3 = A \times 1.5 + 1.5 A . v \Rightarrow v = 1 m s^{- 1}$

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

3.0ms−1

1.5ms−1

1.0ms−1

2.25ms−1