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 An ideal liquid is flowing through a pipe kept on horizontal floor as shown in figure. The flow is streamline flow. The pressure at two points are indicated, then

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Important Questions on Mechanical Properties of Fluids

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A cylindrical tank with a large diameter is filled with water. Water drains out through a hole at a bottom of the tank. If the cross-sectional area of the hole is 6 cm2 then the drainage rate m3 s-1 when the depth of the water is 0.2 m, is
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Water flows into a large tank with flat bottom at the rate of 10-4 m3s-1. Water is also leaking out of a hole of area 1 cm2 at its bottom. If the height of the water in the tank remains steady then this height is:
MEDIUM
A fluid is flowing through a horizontal pipe of varying cross-section, with vms1 at a point where the pressure is P Pascal. At another point where pressure P2 Pascal its speed is V ms-1. If the density of the fluid is ρkgm-3 and the flow is streamline, then V is equal to 
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Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m2. The tank has an opening B near the bottom whose cross-section area is 1 cm2. A load of 24 kg is applied on the water at the top when the height of the water level is 40 cm above the bottom, the velocity of water coming out the opening B is v m s-1. The value of v, to the nearest integer, is ___ .[Take the value of g to be 10 m s-2]

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The top of a water tank is open to air and its water level is maintained. It is giving out 0.74 m3 water per minute through a circular opening of 2 cm radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to:
MEDIUM
Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but the height of liquid in one vessel is x1 and in the other x2. When both cylinders are connected through a pipe of negligible volume very close to the bottom, the liquid flows from one vessel to the other until it comes to equilibrium at a new height. The change in energy of the system in the process is :
MEDIUM
An ideal liquid flows through a horizontal tube of variable diameter. The pressure is lowest where the _____.
MEDIUM
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Consider a water jar of radius R that has water filled up to height H and is kept on a stand of height h (see figure). Through a hole of radius r r<<R at its bottom, the water leaks out and the stream of water coming down towards the ground has a shape like a funnel as shown in the figure. If the radius of the cross-section of water stream when it hits the ground is x. Then:
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A small hole of area cross-section 2 mm2 is present near the bottom of a fully filled open tank of height 2 m. Taking g=10 m s-2, the rate of flow of water through the open hole would be nearly
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A light cylindrical vessel is kept on a horizontal surface. Area of the base is A. A hole of cross-sectional area a is made just at its bottom side. The minimum coefficient of friction necessary to prevent sliding the vessel due to the impact force of the emerging liquid is

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EASY
Water flows steadily through a horizontal pipe of a variable cross-section. If the pressure of the water is p at a point, where the speed of the flow is v , what is the pressure at another point, where the speed of the flow is 2v? Let the density of water be 1 g cm-3.
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A cylindrical vessel of radius 5 cm is filled with water up to a height of 20 cm. The cylinder is open to atmosphere at the top. A small aperture of radius 2 mm is made on the side of the cylinder at a height of 5 cm from the bottom of the vessel. For approximately how long will water leak out of the aperture?
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Figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes.
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Assertion (A): The upper surface of the wing of an aeroplane is made convex and the lower surface is made concave.
Reason (R): The air currents at the top have smaller velocity and thus less pressure at the bottom than at the top.
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Total pressure at the bottom of a filled water tank is 2.0 atm. If a small hole is made at the bottom of the tank, then what is the velocity of efflux? [Use density of water as 1000 kg mL-3, 1 atm=105 Pa]
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A wind with a speed 40 m·s-1 blows parallel to the roof of a house. 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 direction of the force will be _________ρair =1.2 kg·m-3
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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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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