Two water pipes P and Q having diameters 2 ti | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to the equation of continuity for an incompressible fluid in steady flow,the volume flow rate (discharge) remains constant throughout th

Vedclass · Accepted Answer

Four times that of $Q$

Vedclass · Answer

(A) According to the equation of continuity for an incompressible fluid in steady flow,the volume flow rate (discharge) remains constant throughout the pipe.$A_P V_P = A_Q V_Q$Where $A$ is the cross-sectional area and $V$ is the velocity of water.Since $A = \frac{\pi d^2}{4}$,we have:$\frac{\pi d_P^2}{4} V_P = \frac{\pi d_Q^2}{4} V_Q$$d_P^2 V_P = d_Q^2 V_Q$$V_P = \left( \frac{d_Q}{d_P} ight)^2 V_Q$Given $d_P = 2 	imes 10^{-2} \, m$ and $d_Q = 4 	imes 10^{-2} \, m$:$V_P = \left( \frac{4 	imes 10^{-2}}{2 	imes 10^{-2}} ight)^2 V_Q$$V_P = (2)^2 V_Q$$V_P = 4 V_Q$Thus,the velocity of water in pipe $P$ is four times that of pipe $Q$.

Two water pipes $P$ and $Q$ having diameters $2 \times 10^{-2} \, m$ and $4 \times 10^{-2} \, m$ respectively are joined in series with the main supply line of water. The velocity of water flowing in pipe $P$ is ........

Similar Questions

Two water pipes of diameters $2 \text{ cm}$ and $4 \text{ cm}$ are connected with the main supply line. The velocity of flow of water in the pipe of $2 \text{ cm}$ diameter is

Water is flowing continuously from a tap having an internal diameter $8 \times 10^{-3}\, m$. The water velocity as it leaves the tap is $0.04\, ms^{-1}$. The diameter of the water stream at a distance $8 \times 10^{-1}\, m$ below the tap is close to

$A$ motor of power $P_0$ is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe $n$ times, the power of the motor is increased to $P_1$. The ratio of $P_1$ to $P_0$ is

Water coming out of the mouth of a tap and falling vertically in streamline flow forms a tapering column,i.e.,the area of cross-section of the liquid column decreases as it moves down. Which of the following is the most accurate explanation for this?

Vedclass Test Series

Exam Paper Generator

Online Exam Module