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General
Easy
Question
A narrow tube completely filled with a liquid is lying on a series of cylinders as shown in figure. Assuming no sliding between any surfaces, the value of acceleration of the cylinders for which liquid will not come out of the tube from anywhere is given by
The correct answer is:
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A U-tube of base length 
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and 2 is moving with an acceleration “a” on the horizontal plane. If the height difference between the two surfaces (open to atmosphere) becomes zero, then the height h is given by:
A U-tube of base length filled with same volume of two liquids of densities and 2 is moving with an acceleration “a” on the horizontal plane. If the height difference between the two surfaces (open to atmosphere) becomes zero, then the height h is given by:
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In the figure shown water is filled in a symmetrical container. Four pistons of equal area A are used at the four opening to keep the water in equilibrium. Now an additional force F is applied at each piston. The increase in the pressure at the centre of the container due to this addition is
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A cylindrical container of radius 'R' and height ' h ' is completely filled with a liquid. Two horizontal L shaped pipes of small cross-section area 'a' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is:
A cylindrical container of radius 'R' and height ' h ' is completely filled with a liquid. Two horizontal L shaped pipes of small cross-section area 'a' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is:
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A cylindrical vessel filled with water is released on an inclined surface of angle 
as shown in figure. The friction coefficient of surface with vessel is 
Then the constant angle made by the surface of water with the incline will be:
A cylindrical vessel filled with water is released on an inclined surface of angle as shown in figure. The friction coefficient of surface with vessel is Then the constant angle made by the surface of water with the incline will be:
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Two spheres 
and 
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and 
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and 
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and 
and viscosities 
and 
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and in has terminal velocity 
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Two spheres and of equal radii have densities and , respectively. The spheres are connected by a massless string and placed in liquids and of densities and and viscosities and , respectively. They float in equilibrium with the sphere in and sphere in and the string being taut (see figure). If sphere along in L2 has terminal velocity and in has terminal velocity , then
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A wooden cylinder of diameter 4r, height H and density /3 is kept on a hole of diameter 2r of a tank, filled with liquid of density as shown in the figure. The block in the above question is maintained at the position by external means and the level of liquid is lowered. The height 
when this external force reduces to zero is :–
A wooden cylinder of diameter 4r, height H and density /3 is kept on a hole of diameter 2r of a tank, filled with liquid of density as shown in the figure. The block in the above question is maintained at the position by external means and the level of liquid is lowered. The height when this external force reduces to zero is :–
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A wooden cylinder of diameter 4r, height H and density /3 is kept on a hole of diameter 2r of a tank, filled with liquid of density as shown in the figure. Now level of the liquid starts decreasing slowly. When the level of liquid is at a height 
above the cylinder the block starts moving up. At what value of , will the block rise :–
A wooden cylinder of diameter 4r, height H and density /3 is kept on a hole of diameter 2r of a tank, filled with liquid of density as shown in the figure. Now level of the liquid starts decreasing slowly. When the level of liquid is at a height above the cylinder the block starts moving up. At what value of , will the block rise :–
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A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherical soap bubble of radius r. End 2 has sub–hemispherical soap bubble as shown in figure. Just after opening the valve,
A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherical soap bubble of radius r. End 2 has sub–hemispherical soap bubble as shown in figure. Just after opening the valve,
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Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is , the surface tension of water is T and the atmospheric pressure is 
. Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude :–
Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is , the surface tension of water is T and the atmospheric pressure is . Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude :–
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Water is filled in a cylindrical container to a height of 3 m. The ratio of the cross–sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is 
Water is filled in a cylindrical container to a height of 3 m. The ratio of the cross–sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is
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The pressure of a medium is changed from 
Pa and change in volume is 10% keeping temperature constant. The bulk modulus of the medium is :–
The pressure of a medium is changed from Pa and change in volume is 10% keeping temperature constant. The bulk modulus of the medium is :–
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The adjacent graph shows the extension 
) of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross–sectional area of the wire is 
, calculate the Young's modulus of the material of the wire :–
The adjacent graph shows the extension ) of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross–sectional area of the wire is , calculate the Young's modulus of the material of the wire :–
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A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance 
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A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance and h are shown there. After sometime the coin falls into the water. Then :–
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A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is V and mass M. It is suspended by a string in a liquid of density , where it stays vertical. The upper surface of the cylinder is at a depth h below the liquid surface. The force on the bottom of the cylinder by the liquid is :–
A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is V and mass M. It is suspended by a string in a liquid of density , where it stays vertical. The upper surface of the cylinder is at a depth h below the liquid surface. The force on the bottom of the cylinder by the liquid is :–
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There is a circular tube in a vertical plane. Two liquids which do not mix and of densities 
and 
are filled in the tube. Each liquid subtends 
angle at centre. Radius joining their interface makes an angle 
with vertical. ratio 
is
There is a circular tube in a vertical plane. Two liquids which do not mix and of densities and are filled in the tube. Each liquid subtends angle at centre. Radius joining their interface makes an angle with vertical. ratio is
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