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The velocity of the liquid coming out of a small hole of a vessel containing two different liquids of densities and as shown in figure is
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A cylinder of square base (b × b) is kept on a rough horizontal surface so that it cannot slide but topple only. It is filled with water up to a height 2 h and a small hole of area a is punched in it at a height h. Water Leaks out horizontally from the hole. For what value of 'h', the cylinder does not get toppled?
A cylinder of square base (b × b) is kept on a rough horizontal surface so that it cannot slide but topple only. It is filled with water up to a height 2 h and a small hole of area a is punched in it at a height h. Water Leaks out horizontally from the hole. For what value of 'h', the cylinder does not get toppled?
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A vessel contains oil (density ) over mercury (density ). A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in is
A vessel contains oil (density ) over mercury (density ). A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in is
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A beaker containing water is kept on a spring scale. The mass of water and beaker is 5 kg. A block of mass 2 kg and specific gravity 10 is suspended by means of thread from a spring balance as shown. The readings of scales and are respectively [ Take ]
A beaker containing water is kept on a spring scale. The mass of water and beaker is 5 kg. A block of mass 2 kg and specific gravity 10 is suspended by means of thread from a spring balance as shown. The readings of scales and are respectively [ Take ]
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A square plate of 0.1 meter side moves parallel to a second fixed plate with a velocity of 0.1 m/s, both plates being immersed in water. If the viscous force is 0.002 newtons and the coefficient of viscosity is 0.01 poise, distance between the plates in metre is
A square plate of 0.1 meter side moves parallel to a second fixed plate with a velocity of 0.1 m/s, both plates being immersed in water. If the viscous force is 0.002 newtons and the coefficient of viscosity is 0.01 poise, distance between the plates in metre is
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Through a very narrow gap of height h, a thin plate of large extension is pulled at a velocity v on one side of the plate there exists oil of viscosity and on the other side, oil of viscosity as shown. The position (y) of the plate so that (i) the shear force on the two sides of the plate is equal. (ii) the pull required to drag the plate is minimum respectively are
Through a very narrow gap of height h, a thin plate of large extension is pulled at a velocity v on one side of the plate there exists oil of viscosity and on the other side, oil of viscosity as shown. The position (y) of the plate so that (i) the shear force on the two sides of the plate is equal. (ii) the pull required to drag the plate is minimum respectively are
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A sliding fit cylindrical body of mass of 1 kg drops vertically down as shown in figure at a constant velocity of 5 cm/s. Find the coefficient of dynamic viscosity of the oil in pascal second.
A sliding fit cylindrical body of mass of 1 kg drops vertically down as shown in figure at a constant velocity of 5 cm/s. Find the coefficient of dynamic viscosity of the oil in pascal second.
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A non uniform cylinder of mass m, length 1 and radius r is having its centre of mass at a distance 1/4 from the centre and lying on the axis of the cylinder. The cylinder is kept in a liquid of uniform density . The moment of inertia of the rod about the centre of mass is I. The angular acceleration of point A relative to point B just after the rod is released from the position shown in figure is
A non uniform cylinder of mass m, length 1 and radius r is having its centre of mass at a distance 1/4 from the centre and lying on the axis of the cylinder. The cylinder is kept in a liquid of uniform density . The moment of inertia of the rod about the centre of mass is I. The angular acceleration of point A relative to point B just after the rod is released from the position shown in figure is
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A uniform rod OB of length 1 m, cross-sectional area and relative density 2.0 is free to rotate about O in vertical plane. The rod is held with a horizontal string AB which can withstand a maximum tension of 45 N. The rod and string system is kept in water in equilibrium as shown in figure. The maximum value of angle which the rod can make with vertical without breaking the string is
A uniform rod OB of length 1 m, cross-sectional area and relative density 2.0 is free to rotate about O in vertical plane. The rod is held with a horizontal string AB which can withstand a maximum tension of 45 N. The rod and string system is kept in water in equilibrium as shown in figure. The maximum value of angle which the rod can make with vertical without breaking the string is
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A hollow sphere of mass 50 kg and radius is immersed in a tank of water of density . The sphere is tied to the bottom of tank by two wires A and B as shown and is equilibrium. Tension in wire A is
A hollow sphere of mass 50 kg and radius is immersed in a tank of water of density . The sphere is tied to the bottom of tank by two wires A and B as shown and is equilibrium. Tension in wire A is
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A homogeneous solid cylinder of length L(L<H/2). Cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure . The density D of solid is given by
A homogeneous solid cylinder of length L(L<H/2). Cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure . The density D of solid is given by
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In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities and , and pressure and at points A and B respectively
In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities and , and pressure and at points A and B respectively
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A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is maximum at ____________
A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is maximum at ____________
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A large open top container of negligible mass and uniform cross-sectional area A has a small hole of cross-sectional area A/100 in its side wall near the bottom. The container is kept on a smooth horizontal floor and contains a liquid of density and mass . Assuming that the liquid starts flowing out horizontally through the hole at t=0, calculate the acceleration of the container.
A large open top container of negligible mass and uniform cross-sectional area A has a small hole of cross-sectional area A/100 in its side wall near the bottom. The container is kept on a smooth horizontal floor and contains a liquid of density and mass . Assuming that the liquid starts flowing out horizontally through the hole at t=0, calculate the acceleration of the container.
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A horizontal tube has different cross-section at two points A and B The diameters of the tube at points A and B are 4 cm and 2 cm respectively. The two manometers arms are fixed at points A and B. When a liquid of density flows through the tube, the difference of pressure between the arms of manometer is 8 cm. Calculate the rate of flow of liquid nearly, deriving the necessary formula
A horizontal tube has different cross-section at two points A and B The diameters of the tube at points A and B are 4 cm and 2 cm respectively. The two manometers arms are fixed at points A and B. When a liquid of density flows through the tube, the difference of pressure between the arms of manometer is 8 cm. Calculate the rate of flow of liquid nearly, deriving the necessary formula
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Figure shows how the stream of water emerging from a faucet "necks down" as it falls. Figure shows two levels separated by a vertical distance h. The cross-sectional areas and A are marked in the figure. At what rate does water flow from the tap?
Figure shows how the stream of water emerging from a faucet "necks down" as it falls. Figure shows two levels separated by a vertical distance h. The cross-sectional areas and A are marked in the figure. At what rate does water flow from the tap?
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