A liquid of density $750\,kgm ^{-3}$ flows smoothly through a horizontal pipe that tapers in crosssectional area from $A _{1}=1.2 \times 10^{-2}\,m ^{2}$ to $A_{2}=\frac{A_{1}}{2}$. The pressure difference between the wide and narrow sections of the pipe is $4500\,Pa$. The rate of flow of liquid is________$\times 10^{-3}\,m ^{3} s ^{-1}$
JEE MAIN 2022, Diffcult
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Water is flowing with a velocity of $2\,m/s$ in a horizontal pipe where cross-sectional area is $2 \times 10^{-2}\, m^2$ at pressure $4 \times 10^4\, pascal$. The pressure at cross-section of area $0.01\, m^2$ in pascal will beView Solution
- 2A container of height $10\, cm$ is filled with water. There is a hole at bottom. Find the pressure difference between points at top and bottom.View Solution
- 3Three identical vessels are filled to the same height with three different liquids $A, B$ and $C$ $({\rho _A} > {\rho _B} > {\rho _C})$. The pressure at the base will beView Solution
- 4There are two identical small holes of area of cross-section a on the opposite sides of a tank containing a liquid of density $\rho $. The difference in height between the holes is $h$. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium isView Solution
- 5Two water pipes of diameters $ 2 cm $ and $4 cm $ are connected with the main supply line. The velocity of flow of water in the pipe of $ 2 cm$ diameter isView Solution
- 6Two communicating vessels contain mercury. The diameter of one vessel is $n$ times larger than the diameter of the other. A column of water of height $ h$ is poured into the left vessel. The mercury level will rise in the right-hand vessel ($s =$ relative density of mercury and $\rho = $ density of water) byView Solution
- 7A air bubble rises from bottom of a lake to surface. If its radius increases by $200 \%$ and atmospheric pressure is equal to water coloumn of height $H$. then depth of lake is ..... $H$View Solution
- 8View SolutionWhich of the following graphs best represents the motion of a raindrop?
- 9Given below are two statements:View Solution
Statement $I :$ Pressure in a reservoir of water is same at all points at the same level of water.
Statement $II :$ The pressure applied to enclosed water is transmitted in all directions equally.
In the light of the above statements, choose the correct answer from the options given below:
- 10Assertion $(A):$ The stream of water flowing at high speed from a garden hose, pipe tends to spread like a fountain when held vertically up but tends to narrow down when held vertically down.View Solution
Reason $(R):$ In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.