An L-shaped glass tube is just immersed in fl | vedclass

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

Question

(A) According to Bernoulli's principle,for a streamline flow of an incompressible,non-viscous fluid,the sum of pressure energy,kinetic energy,and pote

Vedclass · Accepted Answer

The water in the tube rises to height $\frac{v^2}{2g}$

Vedclass · Answer

(A) According to Bernoulli's principle,for a streamline flow of an incompressible,non-viscous fluid,the sum of pressure energy,kinetic energy,and potential energy per unit volume remains constant.Let the pressure at the opening of the tube be $P_0$ and the velocity of water be $v$. Inside the tube,the water comes to rest,so the velocity at the top of the vertical column is $0$.Applying Bernoulli's equation between the opening of the tube (point $1$) and the top of the water column in the tube (point $2$):$P_1 + \frac{1}{2}\rho v^2 + \rho g h_1 = P_2 + \frac{1}{2}\rho v_2^2 + \rho g h_2$Here,$P_1 = P_2 = P_{atm}$ (atmospheric pressure),$v_1 = v$,$v_2 = 0$,and $h_2 - h_1 = h$ (the height of the water column above the water level).Substituting these values:$P_{atm} + \frac{1}{2}\rho v^2 + 0 = P_{atm} + 0 + \rho g h$$\frac{1}{2}\rho v^2 = \rho g h$$h = \frac{v^2}{2g}$Thus,the water in the tube rises to a height of $\frac{v^2}{2g}$.

An $L$-shaped glass tube is just immersed in flowing water such that its opening is pointing against the flowing water. If the speed of the water current is $v$,then

Similar Questions

Water is flowing through a horizontal pipe in streamline flow. At the narrowest part of the pipe,

Which fundamental law forms the basis of Bernoulli's equation?

The weight of an aeroplane flying in air is balanced by

Why is Bernoulli's equation not applicable to turbulent flow? Explain.

$A$ venturimeter has a pipe diameter of $4 \,cm$ and a throat diameter of $2 \,cm$. The velocity of water in the pipe section is $10 \,m/s$. The pressure drop between the pipe section and the throat section is (use density of water $= 1000 \,kg/m^3$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module