Advertisements
Advertisements
प्रश्न
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.
पर्याय
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
Advertisements
उत्तर
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
संबंधित प्रश्न
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.
In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are 70 m s–1and 63 m s–1 respectively. What is the lift on the wing if its area is 2.5 m2? Take the density of air to be 1.3 kg m–3.
Figures (a) and (b) refer to the steady flow of a (non-viscous) liquid. Which of the two figures is incorrect? Why?

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?
A Gipsy car has a canvass top. When the car runs at high speed, the top bulges out. Explain.
Suppose the tube in the previous problem is kept vertical with A upward but the other conditions remain the same. the separation between the cross sections at A and B is 15/16 cm. Repeat parts (a), (b) and (c) of the previous problem. Take g = 10 m/s2.
Suppose the tube in the previous problem is kept vertical with B upward. Water enters through B at the rate of 1 cm3/s. Repeat parts (a), (b) and (c). Note that the speed decreases as the water falls down.
What is the basis of Bernoulli’s principle?
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?
In the widest part of the horizontal pipe, oil is flowing at a rate of 2 m/sec. The speed (in m/s) of the flow of oil in the narrow part of the tube if the pressure difference in the broad and narrow parts of the pipe is 0.25 ρoilg, is ______ m/s.
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 ______.
