A non-viscous liquid flows through a horizontal pipe of varying cross-sectional area. Identify the option which correctly represents the variation of height of rise of liquid in each vertical tube.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
We know,
Equation of continuity:
$A v =$ constant $\Rightarrow v \propto \frac{1}{A}$ ......(1)

As area of cross section of pipe decreases, velocity of fluid increases.

Also, Bernoulli's equation -
$P + ρ g h + \frac{1}{2} ρ v^{2}$ = constant
At same height, as velocity of fluid increases, Pressure decreases.
We can see that diagram $B$ correctly represents the variation of height of rise of liquid.

Suggest Corrections

Similar questions

Q. A non-viscous incompressible liquid is flowing from a horizontal pipe of non-uniform cross section as shown, Choose the correct options:

Q. A non-viscous liquid is flowing through a non-uniform pipe from section

A

to section

B

as shown in the figure. Cross sectional area of the pipe at

A

is less then that at

B

. Which of the following statement are correct?

Q. A liquid flowing with speed v through a horizontal pipe of cross sectional area A enters into another pipe of double the area of cross section. Now, the speed of the liquid is

A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have have areas of cross section $A_{1}$ and $A_{2}$ , are $v_{1}$ and $v_{2}$ respectively. The difference in the levels of the liquid in the two vertical tubes is $h$ . Then :

Q. A liquid is under streamline flow through a horizontal pipe of non uniform cross-sectional area. If the volume rate of flow at a cross-section of area

a

V

, then volume rate of flow at a different cross-section of area

\frac{a}{2}

Join BYJU'S Learning Program

Explore more

Bernoulli's Principle

Standard XII Physics

Join BYJU'S Learning Program