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11th West Bengal Board
IMPORTANT
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A hydraulic automobile lift is used to lift a car of mass 3000 kg. The cross-sectional area of the piston on which the car is supported is 425 cm2. What pressure would the smaller piston have to bear?

Important Questions on Fluid Statics

MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 13 - Fluid Statics>EXERCISE>Q 7
The radius of the small piston of hydraulic press is 8 cm and that of the larger piston is 96 cm. It is worked by a lever of which the ratio of the arms is 3:28. If a force of 27 kg-wt is applied on the handle, what is the force developed by the larger piston? What is the velocity ratio of the whole machine ? 
MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 13 - Fluid Statics>EXERCISE>Q 8
A piece of stone of density 2.5 gcm-3 is kept immersed in sea-water and is allowed to sink. How far will it sink in 2s ? Sp. gravity of sea-water =1.025 ; g=980 cms-2.
MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 13 - Fluid Statics>EXERCISE>Q 9
An oil drop is rising up through water with g is the acceleration due to gravity. Neglecting viscosity of water, calculate the sp. gravity of oil.
MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 13 - Fluid Statics>EXERCISE>Q 10
Two cylinders of same cross-section and length l but made of two materials of densities ρ1 and ρ2 are cemented together to form a cylinder of length 2l. If the combination floats in water with a length l/2 above the surface of water, show that if ρ1>ρ2and the density of water be unity, then ρ1>34. Show also that the equlibrium is unstable if the heavier part of the cylinder is at the top.
MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 13 - Fluid Statics>EXERCISE>Q 11
A ∪-tube is partly filled with water. Another liquid, which does not mix with water, is poured into one side until it stands a distance d Above the water level of the other side which has meanwhile risen a distance l. If the densities of water and liquid be ρ1 and ρ2, show that, ρ2ρ1=2l2ld.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 13 - Fluid Statics>EXERCISE>Q 12
A ∪-tube with arms of different radii of cross-section r1 and r2r1<r2 contains mercury. A solid sphere of radius r is dropped in the larger arm so that it sinks completely in mercury and the mercury level rises in both the arms. The mercury in the larger arm is brought to its original level by pouring water on top up to a height h. Show that, h=4r3dm3r12dω, where, dm and dω are the densities of mercury and water respectively.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 13 - Fluid Statics>EXERCISE>Q 13
A cylindrical vessel with cross-sectional area 4.95 cm2 is filled with water in which a piece of ice, containing a lead ball floats. The volume of the ice together with the lead ball is 100 cm3 and 120th of this volume is above the water level. Find the fall of water level in the vessel when the ice melts completely. Sp. gr. of ice =0.9 and of lead =11.
EASY
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 13 - Fluid Statics>EXERCISE>Q 14
A cubical block A of wood of edge 4 cm floats in water. The lower surface of the cube just touches the free end of vertical spring fixed at the bottom of the vessel. Find the maximum weight that can be put on the block A without wetting it. Density of wood =800 kgm-3 and spring constant of the spring=75 Nm-1. Take g=10 ms-2.