Class 11PhysicsFluid Mechanics and Surface TensionBernoulli's Theorem and Applications of Bernoulli's Theory
MediumState Bernoulli's principle in words.
(N/A) Bernoulli's principle states that for an incompressible,non-viscous,and streamline flow of a fluid,the sum of pressure energy $(P)$,kinetic energy per unit volume $\left(\frac{1}{2}\rho v^{2}\right)$,and potential energy per unit volume $(\rho gh)$ remains constant at all points along a streamline.
Mathematically,this is expressed as: $P + \frac{1}{2}\rho v^{2} + \rho gh = \text{constant}$.
Mathematically,this is expressed as: $P + \frac{1}{2}\rho v^{2} + \rho gh = \text{constant}$.
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Similar Questions
As shown in the figure, a pump is designed as a horizontal cylinder with a piston having area $A$ and an outlet orifice having an area $a$. The piston moves with a constant velocity under the action of force $F$. If the density of the liquid is $\rho$, then the speed of the liquid emerging from the orifice is (assume $A \gg a$):
DifficultWBJEE 2023
View SolutionWater is flowing through a horizontal tube as shown in the figure. Its diameters at two points are $0.3\,m$ and $0.1\,m$ respectively. The pressure difference between these two points is equal to $0.8\,m$ of water column. Find the rate of flow of water in the tube in $ltr/s$.
The reading of a pressure gauge connected to a closed tap is $3.5 \times 10^5 \, N/m^2$. When the tap is opened,the reading of the pressure gauge falls to $3.0 \times 10^5 \, N/m^2$. The velocity of water is ........ $m/s$.
Medium
View Solution$Assertion :$ The pressure of water increases when it flows from a narrow pipe to a wider pipe.
$Reason :$ According to the equation of continuity,$A_1v_1 = A_2v_2$,and by Bernoulli's principle,where velocity is high,pressure is low.
$Reason :$ According to the equation of continuity,$A_1v_1 = A_2v_2$,and by Bernoulli's principle,where velocity is high,pressure is low.
$A$ closed pipe containing liquid showed a pressure $P_1$ by gauge. When the valve was opened, the pressure was reduced to $P_2$. The speed of water flowing out of the pipe is ($\rho$ = density of water).
DifficultMHT CET 2026
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