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A liquid is filled in a spherical container of radius R till a height h. At this positions the liquid surface at the edges is also horizontal. The contact angle is
- 0
The correct answer is:
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A spherical ball of density r and radius 0.003m is dropped into a tube containing a viscous fluid filled up to the 0 cm mark as shown in the figure. Viscosity of the fluid = 1.260 Nm–2 and its density 
L= 2 = 1260 kgm–3. Assume the ball reaches a terminal speed by the 10 cm mark. The time taken by the ball to traverse the distance between the 10 cm and 20 cm mark is
(g = acceleration due to gravity = 10 ms–2)
A spherical ball of density r and radius 0.003m is dropped into a tube containing a viscous fluid filled up to the 0 cm mark as shown in the figure. Viscosity of the fluid = 1.260 Nm–2 and its density L= 2 = 1260 kgm–3. Assume the ball reaches a terminal speed by the 10 cm mark. The time taken by the ball to traverse the distance between the 10 cm and 20 cm mark is
(g = acceleration due to gravity = 10 ms–2)
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A cubical block of side ‘a’ and density ‘’ slides over a fixed inclined plane with constant velocity ‘v’. There is a thin film of viscous fluid of thickness ‘t’ between the plane and the block. Then the coefficient of viscosity of the thin film will be:
A cubical block of side ‘a’ and density ‘’ slides over a fixed inclined plane with constant velocity ‘v’. There is a thin film of viscous fluid of thickness ‘t’ between the plane and the block. Then the coefficient of viscosity of the thin film will be:
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The three water filled tanks shown have the same volume and height. If small identical holes are punched near this bottom, which one will be the first to get empty
The three water filled tanks shown have the same volume and height. If small identical holes are punched near this bottom, which one will be the first to get empty
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Equal volumes of two immiscible liquids of densities r and 2r are filled in a vessel as shown in figure. Two small holes are punched at depth h/ 2 and 3h/2 from the surface of lighter liquid. If v1 and v2 are the velocities of a flux at these two holes, then v1 /v2 is
Equal volumes of two immiscible liquids of densities r and 2r are filled in a vessel as shown in figure. Two small holes are punched at depth h/ 2 and 3h/2 from the surface of lighter liquid. If v1 and v2 are the velocities of a flux at these two holes, then v1 /v2 is
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A large tank is filled with water (density = 103 kg/m3). A small hole is made at a depth 10 m below water surface. The range of water issuing out of the hole is Ron ground. What extra pressure must be applied on the water surface so that the range becomes 2R (take 1 atm = 105 Pa and g = 10 m/s2):
A large tank is filled with water (density = 103 kg/m3). A small hole is made at a depth 10 m below water surface. The range of water issuing out of the hole is Ron ground. What extra pressure must be applied on the water surface so that the range becomes 2R (take 1 atm = 105 Pa and g = 10 m/s2):
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In a cylindrical vessel containing liquid of density r, there are two holes in the side walls at heights of h1 and h2 respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole, for which the range of efflux would be maximum, will be
In a cylindrical vessel containing liquid of density r, there are two holes in the side walls at heights of h1 and h2 respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole, for which the range of efflux would be maximum, will be
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A fire hydrant delivers water of density at a volume rate L. The water travels vertically upward through the hydrant and then does 90° turn to emerge horizontally at speed V. The pipe and nozzle have uniform crosssection throughout. The force exerted by the water on the corner of the hydrant is
A fire hydrant delivers water of density at a volume rate L. The water travels vertically upward through the hydrant and then does 90° turn to emerge horizontally at speed V. The pipe and nozzle have uniform crosssection throughout. The force exerted by the water on the corner of the hydrant is
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A cylindrical vessel open at the top is 20cm high and 10cm in diameter. A circular hole whose cross-sectional area 1 cm2 is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate 100 
. The height of water in the vessel under steady state is (Take g=1000 
)
A cylindrical vessel open at the top is 20cm high and 10cm in diameter. A circular hole whose cross-sectional area 1 cm2 is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate 100 . The height of water in the vessel under steady state is (Take g=1000 )
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Water flows through a frictionless duct with a cross-section varying as shown in figure. Pressure p at points along the axis is represented by
Water flows through a frictionless duct with a cross-section varying as shown in figure. Pressure p at points along the axis is represented by
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A tube is attached as shown in closed vessel containing water. The velocity of water coming out from a small hole is :
A tube is attached as shown in closed vessel containing water. The velocity of water coming out from a small hole is :
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A vertical cylindrical container of base area A and upper cross-section area A1 making an angle 30° with the horizontal is placed in an open rainy field as shown near another cylindrical container having same base area A. The ratio of rates of collection of water in the two containers will be
A vertical cylindrical container of base area A and upper cross-section area A1 making an angle 30° with the horizontal is placed in an open rainy field as shown near another cylindrical container having same base area A. The ratio of rates of collection of water in the two containers will be
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A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of 
(see figure). When the box is half empty, someone tilts it at 45° so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of
A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of (see figure). When the box is half empty, someone tilts it at 45° so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of
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There is a metal cube inside a block of ice which is floating on the surface of water. The ice melts completely and metal falls in the water. Water level in the container
There is a metal cube inside a block of ice which is floating on the surface of water. The ice melts completely and metal falls in the water. Water level in the container
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A body having volume V and density is attached to the bottom of a container as shown. Density of the liquid is d(>). Container has a constant upward acceleration a. Tension in the string is
A body having volume V and density is attached to the bottom of a container as shown. Density of the liquid is d(>). Container has a constant upward acceleration a. Tension in the string is
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A hollow sphere of mass M and radius r is immersed in a tank of water (density rw). The sphere would float if it were set free. The sphere is tied to the bottom of the tank by two wires which makes angle 45° with the horizontal as shown in the figure. The tension T1 in the wire is :
A hollow sphere of mass M and radius r is immersed in a tank of water (density rw). The sphere would float if it were set free. The sphere is tied to the bottom of the tank by two wires which makes angle 45° with the horizontal as shown in the figure. The tension T1 in the wire is :
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