Two water pipes of diameters 2 text{ cm} and | vedclass

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

Question

(A) Given: Diameter of first pipe $d_A = 2 	ext{ cm}$,so radius $r_A = 1 	ext{ cm}$.Diameter of second pipe $d_B = 4 	ext{ cm}$,so radius $r_B = 2

Vedclass · Accepted Answer

$4$ times that in the other pipe

Vedclass · Answer

(A) Given: Diameter of first pipe $d_A = 2 	ext{ cm}$,so radius $r_A = 1 	ext{ cm}$.Diameter of second pipe $d_B = 4 	ext{ cm}$,so radius $r_B = 2 	ext{ cm}$.According to the equation of continuity,the product of the cross-sectional area and the velocity of flow is constant $(A_1v_1 = A_2v_2)$.Therefore,$\frac{v_A}{v_B} = \frac{A_B}{A_A} = \frac{\pi (r_B)^2}{\pi (r_A)^2}$.Substituting the values: $\frac{v_A}{v_B} = \left( \frac{2}{1} ight)^2 = 4$.Thus,$v_A = 4v_B$. The velocity in the $2 	ext{ cm}$ pipe is $4$ times the velocity in the $4 	ext{ cm}$ pipe.

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

Similar Questions

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

$A$ pipe having an internal diameter $D$ is connected to another pipe of the same size. Water flows into the second pipe through $n$ holes,each of diameter $d$. If the water in the first pipe has speed $v$,the speed of water leaving the second pipe is

Derive the equation of continuity for the steady flow of an incompressible fluid.

Water falls from a tap,down the streamline.

The cylindrical tube of a spray pump has radius $R,$ one end of which has $n$ fine holes,each of radius $r.$ If the speed of the liquid in the tube is $v,$ the speed of the ejection of the liquid through the holes is

Vedclass Test Series

Exam Paper Generator

Online Exam Module