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Assertion: Any pressure increase at one point of a static connected fluid passed to each point is undiminished.

Reason: Fluid is assumed to be incompressible.

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Important Questions on Fluid Mechanics

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Assertion: One of the two identical container is empty and the other contains two ice cubes. Now both the containers are filled with water to same level as shown. Then both the containers shall weigh the same.

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Reason: The weight of volume of water displaced by ice cube floating in water is equal to the weight of ice cube. Hence, both the container in above situation shall weigh the same.

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Assertion: Consider an object that floats in water but sinks in oil. When the object floats in water, half of it is submerged. If we slowly pour oil on top of water till it completely covers the object, the object moves up.

Reason: As the oil is poured in the situation of statement-1, pressure inside the water will increase everywhere resulting in an increase in upward force on the object.

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Assertion: Hydrostatic pressure is a vector quantity.

Reason: Pressure is force divided by area and force is a scalar quantity.

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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 force will be ρair =1.2 kg m-3
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The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is V, the speed of ejection of the liquid through the holes is,
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Two non-mixing liquids of densities ρ and nρ (n>1)are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and length pL(p<1) in the denser liquid. The density d is equal to:
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A U tube with both ends open to the atmosphere is partially filled with water. Oil; which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile, the water rises by 65 mm from its original level (see diagram). The density of the oil is:

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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