EASY
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Applications of Bernoulli’s theorem can be seen in:

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Important Questions on Mechanical Properties of Fluids

MEDIUM
Water is flowing at a speed of 1.5 m s-1 through a horizontal tube of cross-sectional area 10-2 m2 and you are trying to stop the flow by your palm. Assuming that the water stops immediately after hitting the palm, the minimum force that you must exert should be (density of water = 103 kg m-3)
EASY
An aeroplane gets its upward lift due to a phenomenon described by the
MEDIUM
A vessel completely filled with water has holes A and B at depths h and 3h from the top respectively. The hole A is a square of side L and B is a circle of radius r. The water flowing out per second from both the holes is same. Then L is equal to
MEDIUM
An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4cm and 4.8cm , respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:
MEDIUM
Water from a tap emerges vertically downwards with an initial speed of  1.0 ms-1 . The cross - sectional area of the tap is  10-4 m2 . Assume that the pressure is constant throughout the stream of water and that the flow is streamlined. The cross - sectional area of the stream, 0.15 m below the tap would be:
(Take  g=10 ms-2 )
MEDIUM
Water flows in a horizontal tube (see figure). The pressure of water changes by 700 N m-2 between A and B where the area of cross section are 40 cm2 and 20 cm2, respectively. Find the rate of flow of water through the tube. (density of water =1000 kg m-3 )
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HARD

A cylindrical container containing water has a small hole at height of H=8 cm from the bottom and at a depth of 2 cm from the top surface of the liquid. The maximum horizontal distance travelled by the water before it hits the ground x is

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HARD

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In the diagram shown, the difference in the two tubes of the manometer is 5 cm, the cross-section of the tube at A and B is 6 mm2 and 10 mm2 respectively. The rate at which water flows through the tube is g=10 m s-2

MEDIUM
A wind with speed 40 m s-1 blows parallel to the roof of a house. The area of the roof is 250 m2 . Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the direction of the force will be : ρair =1.2 kg m-3 
MEDIUM
In the following figure, the flow of liquid through a horizontal pipe is shown. Three tubes A, B and C are connected to the pipe. the radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the

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HARD
Water is flowing in a streamline motion through a tube with its axis horizontal. Consider two points A and B in the tube at the same horizontal level.
HARD
In a cylindrical vessel containing liquid of density ρ, there are two holes in the side walls at heights of h1 and h2 respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole for which the range of efflux would be maximum, will be -

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MEDIUM

An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is
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MEDIUM
There is a small hole near the bottom of an open tank filled with a liquid. The speed of the water ejected does not depend on
HARD

A small hole is made at the bottom of a symmetrical jar as shown in figure. A liquid is filled into the jar upto a certain height. The rate of descension of liquid is independent of the level of the liquid in the jar. Then the surface of the jar is a surface of revolution of the curve -


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HARD
The figure here shows a cylindrical tank with two immiscible liquids of densities d and 2d. A narrow hole is to be punched in the wall of the tank to obtain maximum range of efflux
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HARD
A large tank is filled with water to height H and there is a small hole at the bottom of tank. If in time T1 the height of water level decreases to height Hn n > 1 and in the same time T1 rest of water flows out, then the value of n is -
HARD
A tank of large base area is filled with water up to a height of 5 m. A hole of 2 cm2 cross-section in the bottom allows the water to drain out in continuous streams. For this situation, mark out the correct statement(s). Take ρwater=1000 kg m-3, g=10 m s-2
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HARD

As shown in the figure a liquid of density ρ is standing in a sealed container to a height h. The container contains compressed air at a gauge pressure of p. The horizontal outlet pipe has a cross-sectional area A2 at E. Find the correct options. 

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MEDIUM
A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in m s-1) through a small hole on the side wall of the cylinder near its bottom is