Water 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 be
Medium
Download our app for free and get started
$A_{1} V_{1}=A_{2} V_{2}$
$(2)$ $\left(2 \times 10^{-2}\right)=\mathrm{V}_{2}(0.01)$
$\mathrm{V}_{2}=4 \mathrm{m} / \mathrm{s}$
$4 \times 10^{4}+\frac{1}{2}\left(10^{3}\right)(2)^{2}=P+\frac{1}{2}\left(10^{3}\right)(4)^{2}$
$P=4 \times 10^{4}-6 \times 10^{3}$
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
- 1View SolutionA wooden piece floats half submerged in a tub of water. If the system is transferred to a lift ascending with acceleration the wooden piece will
- 2A ball rises to surface at a constant velocity in a liquid whose density is $4$ times greater than that of the material of the ball. The ratio of the force of friction acting on the rising ball and its weight isView Solution
- 3The reading of a spring balance when a block is suspended from it in air is $60 \,N$. This reading is changed to $40 \,N$ when the block is submerged in water. The specific gravity of the block must be therefore ............View Solution
- 4A block of wood floats in water with $\frac{4}{5}$ th of its volume submerged, but it just floats in another liquid. The density of liquid is (in $kg / m ^3$ )View Solution
- 5In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes $A, B$ and $ C$ are connected to the pipe. The radii of the tubes $A, B $ and $C$ at the junction are respectively $ 2 cm, 1 cm$ and $2 cm.$ It can be said that theView Solution
- 6A highly viscous liquid of viscosity coefficient $\eta$ flows through a fixed horiwntal cylindrical tube (fixed from outer surface) of internal radius $r$, thickness $t (t << r)$ and length $l$. Volume of liquid flowing per;second is $Q$ and pressure difference across the tube is $P$. Modulus of rigidity of material of tube is $\beta$. Shear strain in the tube will beView Solution
- 7The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be $75 cm$ of $Hg $ and the density of water to be $1/10$ of the density of mercury, the depth of the lake is ....... $m$View Solution
- 8A candle of diameter $ d$ is floating on a liquid in a cylindrical container of diameter $D $ $(D>>d)$ as shown in figure. If it is burning at the rate of $2$ cm/hour then the top of the candle willView Solution
- 9View SolutionA liquid is kept in a closed vessel. If a glass plate (negligible mass) with a small hole is kept on top of the liquid surface, then the vapour pressure of the liquid is the vessel is
- 10A submarine experiences a pressure of $5.05\times 10^6\,Pa$ at a depth of $d_1$ in a sea. When it goes further to a depth of $d_2,$ it experiences a pressure of $8.08\times 10^6\,Pa.$ Then $d_2 -d_1$ is approximately ........ $m$ (density of water $= 10^3\,kg/m^3$ and acceleration due to gravity $= 10\,ms^{-2}$ )View Solution