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The pressure at two points in a liquid in pascal are P and 2P. The piston attached to the mouth of the liquid is given a push with pressure 2 Pa. The respective pressures at the two points now are in the ratio

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Important Questions on Mechanical Properties of Fluids

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JEE Main/Advance
IMPORTANT
An incompressible liquid of density ρ is enclosed with two frictionless pistons one of cross-sectional area A and the other of 4A. When the narrow piston moves in by a distance h, the wider piston moves out by a distance.
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The pressure at a point in water is 10 N m2. The depth below this point where the pressure becomes double is (Given, density of water = 103 kg m-3, g=10 m s-2)
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A block of density ρ floats in a liquid with its one third volume immersed. The density of the liquid is
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A piece of steel has a weight W in air, W1 when completely immersed in water and W2 when completely immersed in an unknown liquid. The relative density (specific gravity) of liquid is
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When at rest a liquid stands at the same level in the tubes shown in figure. But as indicated a height difference h occurs when the system is given an acceleration a towards the right. Here h is equal to

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A ball floats on the surface of water in a container exposed to the atmosphere. Volume V1 of its volume in inside the water. If the container is now covered and the air is pumped out. Now let V2 be the volume immersed in water, then

(Density of air ρa=1.204 kg m-3)

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If equal masses of two liquids of densities d1 and d2 are mixed together, the density of the mixture is
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JEE Main/Advance
IMPORTANT
The cross-sections of a pipe at two points A and B are in the ratio 1 : 4. If the speed of water flowing through the pipe at point A is v, its speed at point B is