EASY
JEE Advanced
IMPORTANT
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The minimum horizontal acceleration of the container so that the pressure at point A of the container becomes atmospheric is (the tank is of sufficient height)
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Important Questions on Fluid Mechanics

MEDIUM
JEE Advanced
IMPORTANT
In the figure, the cross-sectional area of the smaller tube is a and that of the larger tube is 2a. A block of mass m is kept in the smaller tube having the same base area a, as that of the tube. The difference between water levels of the two tubes is
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MEDIUM
JEE Advanced
IMPORTANT
Two wooden blocks A and B float in a liquid of density ρL as shown. The distance L and H are shown. After some time, block B falls into the liquid, so that L decreases and H increases. If density of block B is ρB, find the correct option.
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HARD
JEE Advanced
IMPORTANT

Water from a tap emerges vertically downwards with an initial velocity V0. Assume pressure is constant throughout the stream of water and the flow is steady, find the distance from the tap at which cross-sectional area of stream is half of the cross-sectional area of stream at the tap:

 

MEDIUM
JEE Advanced
IMPORTANT
A hole is made at the bottom of the tank filled with water (density =103 kg/m3). If the total pressure at the bottom of the tank is 3 atm1 atm=105 N/m2, then the velocity of efflux is
MEDIUM
JEE Advanced
IMPORTANT
The opening near the bottom of the vessel shown in the figure has an area A. A disc is held against the opening to keep the liquid from running out. Let F1 be the net force on the disc applied by liquid and air in this case. Now the disc is moved away from the opening a short distance. The liquid comes out and strikes the disc inelastically. Let F2 be the force exerted by the liquid in this condition. Then F1/F2 is
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MEDIUM
JEE Advanced
IMPORTANT
There are two identical small holes of the area of cross-section a on the opposite sides of a tank containing a liquid of density ρ. The difference in height between the holes is h. The tank is resting on a smooth horizontal surface. The horizontal force which will have to be applied on the tank to keep it in equilibrium is -

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HARD
JEE Advanced
IMPORTANT

Equal volume of two immiscible liquids of densities ρ and 2ρ are filled in a vessel as shown in figure. Two small holes are punched at depth h2 and 3h2 from the surface of lighter liquid. If v1 and v2 are the velocities of efflux at these two holes, then v1v2 is

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EASY
JEE Advanced
IMPORTANT
Figure shows a liquid flowing through a tube at the rate of 0.1 m3 s-1. The tube is branched into two semicircular tubes of cross-sectional area A/3 and 2A/3. The velocity of liquid at Q is (the cross section of the main tube is A=10-2 m2 and vp=20 m s-1 )
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