Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is p where the velocity of flow is v. At another point, where the pressure is p/2, the velocity of flow is [density of water = ρ]

Question

Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is p where the velocity of flow is v. At another point, where the pressure is p/2, the velocity of flow is [density of water = ρ] (A)  √v2+(p/ρ) (B)  √v2-(p/ρ) (C)  √v2+(2p/ρ) (D)  √v2-(2p/ρ)

Tardigrade Admin · Accepted Answer

As the water is flowing through the horizontal tube, so in the streamline flow of water, the sun of static pressure and dynamic pressure is constant i.e.,

P + \frac{1}{2} ρ v^{2} = \frac{P}{2} + \frac{1}{2} ρ v_{1}^{2}

\Rightarrow v_{1} = \frac{P}{ρ} + v^{2}

Q. Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is $p$ where the velocity of flow is $v$ . At another point, where the pressure is $p /2$ , the velocity of flow is [density of water = $ρ$ ]

$v^{2} + \frac{p}{ρ}$

$v^{2} - \frac{p}{ρ}$

$v^{2} + \frac{2 p}{ρ}$

$v^{2} - \frac{2 p}{ρ}$

As the water is flowing through the horizontal tube, so in the streamline flow of water, the sun of static pressure and dynamic pressure is constant i.e.,
$P + \frac{1}{2} ρ v^{2} = \frac{P}{2} + \frac{1}{2} ρ v_{1}^{2}$
$\Rightarrow v_{1} = \frac{P}{ρ} + v^{2}$

Q. Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is p where the velocity of flow is v. At another point, where the pressure is p/2, the velocity of flow is [density of water = ρ]

v2+ρp​​

v2−ρp​​

v2+ρ2p​​

v2−ρ2p​​