Advertisements
Advertisements
Question
A large cylindrical tank has a hole of area A at its bottom. Water is poured in the tank by a tube of equal cross-sectional area A ejecting water at the speed v.
Options
The water level in the tank will keep on rising
No water can be stored in the tank
The water level will rise to a height v2/2g and then stop
The water level will oscillate
Solution
The water level will rise to a height v2/2g and then stop.
From the principle of continuity and Bernoulli's equation, we have:
v2 = 2gh
`=> "h" = v^2/(2g)`
So, h is the maximum height up to which the water level will rise if the water is ejected at a speed v.
APPEARS IN
RELATED QUESTIONS
Fill in the blanks using the word(s) from the list appended with each statement
For the model of a plane in a wind tunnel, turbulence occurs at a ... speed for turbulence for an actual plane (greater / smaller)
Explain why To keep a piece of paper horizontal, you should blow over, not under, it
Explain why A spinning cricket ball in air does not follow a parabolic trajectory
Can Bernoulli’s equation be used to describe the flow of water through a rapid in a river? Explain.
The cylindrical tube of a spray pump has a cross-section of 8.0 cm2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min–1, what is the speed of ejection of the liquid through the holes?
In deriving Bernoulli’s equation, we equated the work done on the fluid in the tube to its change in the potential and kinetic energy. (a) What is the largest average velocity of blood flow in an artery of diameter 2 × 10–3 m if the flow must remain laminar? (b) Do the dissipative forces become more important as the fluid velocity increases? Discuss qualitatively.
What is the basis of Bernoulli’s principle?
A large number of liquid drops each of radius 'a' are merged to form a single spherical drop of radius 'b'. The energy released in the process is converted into kinetic energy of the big drop formed. The speed of the big drop is [p = density of liquid, T = surface tension of liquid] ____________.
When one end of the capillary is dipped in water, the height of water column is 'h'. The upward force of 119 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is (Surface tension of water= 7 x 10-2 N/m) ____________.
Which of the following is NOT an example of the application of Bernoulli's principle?
Dynamic lift caused by spinning is called ______.
The working of venturimeter is based on ______.
If p0 = 1.03 × 105 Nm–2, ρ0 = 1.29 kg m–3 and g = 9.8 ms–2, at what height will the pressure drop to (1/10) the value at the surface of the earth?
Calculate the velocity with which the liquid gushes out of the 4 cm2 outlet, if the liquid flowing in the tube is water and the liquid in the U tube has a specificity 12. The velocity of the liquid at point A is `sqrt20.2` m/s ______.
A tank is filled with water of density 1 g cm-3 and oil of density 0.9 g cm3. The height of water layer is 100 cm and of the oil layer is 400 cm. If g = 980 cms-2, then the velocity of efflux from an opening in the bottom of the tank is ______.
Explain the working of an atomizer.
