Gauge pressure depends on the reference chosen, it can be positive, negative or zero.
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In 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 the
Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes $0.01 \,cm ^{3}$ of oleic acid per $cm ^{3}$ of the solution. Then you make a thin film of this solution (monomolecular thickness) of area $4\, cm ^{2}$ by considering $100$ spherical drops of radius $\left(\frac{3}{40 \pi}\right)^{\frac{1}{3}} \times 10^{-3}\, cm .$ Then the thickness of oleic acid layer will be $x \times 10^{-14} \,m$. Where $x$ is ...... .
A piston of cross-section area $100\, cm^2$ is used in a hydraulic press to exert a force of $107\, dynes$ on the water. The cross-sectional area of the other piston which supports an object having a mass $2000 \,kg$. is
The velocity of upper layer of water in a river is $36 kmh ^{-1}$. Shearing stress between horizontal layers of water is $10^{-3} Nm ^{-2}$. Depth of the river is $m$. (Co-efficiency of viscosity of water is $10^{-2} \,Pa . s$ )
A hemispherical portion of radius $R$ is removed from the bottom of a cylinder of radius $R$. The volume of the remaining cylinder is $V$ and mass $M$. It is suspended by a string in a liquid of density $\rho$, where it stays vertical. The upper surface of cylinder is at a depth $h$ below the liquid surface. The force on the bottom of the cylinder by the liquid is
Two vessels $A$ and $B$ have the same base area and contain water to the same height, but the mass of water in $A$ is four times that in $B$. The ratio of the liquid thrust at the base of $A$ to that at the base of $B$ is
A cubical block of side $'a'$ and density $'\rho '$ slides over a fixed inclined plane with constant velocity $'v'$ . There is a thin film of viscous fluid of thickness $'t'$ between the plane and the block. Then the coefficient of viscosity of the thin film will be
In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are $70 \mathrm{~ms}^{-1}$ and $65 \mathrm{~ms}^{-1}$ respectively. If the wing area is $2 \mathrm{~m}^2$ the lift of the wing is__________ $\mathrm{N}$.
(Given density of air $=1.2 \mathrm{~kg} \mathrm{~m}^{-3}$ )
Water flows into a cylindrical vessel of large cross-sectional area at a rate of $10^{-4}$ $m^3/s$. It flows out from a hole of area $10^{-4}$ $m^2$, which has been punched through the base. How high does the water rise in the vessel?