Buoyant force is directed

When a solid is completely immersed in a fluid, the apparent loss of weight of solid is _______ volume of fluid displaced 

When a body is fully immersed in a liquid the apparent loss in the weight of body is equal to :

State whether the weight of an iron sinker with cork combined in water will be more or less than that of the iron sinker alone in water. 

An incompressible liquid of density $\rho$ is contained in a vessel of uniform cross-sectional area $A$. If then atmospheric pressure is $p$, then the force acting on a horizontal plane of area a situated at a depth $d$ in liquid is given by

A gas is enclosed in a rectangular vessel. $20 \times 10^23$ molecules of the gas strike a well of the vessel normally per second, with a velocity of 250m/s and rebound with the same speed in the opposite direction. What is the force exerted by the gas on the wall if the mass of each molecule is $5 \times 10^-23$ g ? 

A pump is required to lift 1000 kg of water per minute from a well 20 m deep and eject it at a rate of 20 $ms^-1$. What (horsepower engine is required for the purpose of lifting water)?

The branch of physics which deals with the study of fluids at rest is called :

KE per unit volume is E. The pressure exerted by the gas is given by:

Water is floating smoothly through a closed-pipe system. At one point $A$, the speed of the water is $3.0\ m$ while at another point $B$, $1.0\ m$ higher, the speed is $4.0\ m/s$. The pressure at $A$ is $20\ kPa$ when the flowing $18\ kPa$ when the water flow stop. Then

A cylindrical container is filled with water upto the brim. If the pressure exerted by the water at the bottom of the container is 1000 Pa the height of the container is ..........cm.(take $g = 10 m s^{-2}$)

Two vessels have different base area. They are filled with water to the same height. If the amount of water in one be $4$ times that in the other, then the ratio of pressure on their bottom will be :

A cylinder at a certain ternperature has a gas at a pressure ot $50cm$ of Hg.Then it is divided into three equal parts so that the gas in the central part is completely transferred to either equally. Find the pressure of the gas in each portion.

The length of vacuum above mercury column in a barometer is $10cm/cc$ of air from outside where the pressure is $76cm$ of Hg is passed into the barometer tube. The area of cross section of the tube is $1{ cm }^{ 2 }$.The height of the mercury column then will be

a circular tank has a hole of 1 cm^2 in its bottom. if the watre is allowed to flow into tank from a tube above it at the rate of $70 cm^3/sec$ then the max height upto which water can rise in the tank

A beaker is filled with a liquid of density $\rho$ upto a height h. If the beaker is at rest , the mean pressure on the walls is 

Water in a storage tank stands $2.5m$ above the level of a value in the side of the tank. With what speed the water will rush out of the value (neglecting friction)

Water enters a house through a pipe with an inside diameter of $2 \,cm$ at an absolute pressure of $4 \times 10^5 \,Pa$. A pipe of diameter $1 \,cm$ leads to the second floor room $5 \,m$ above the entry point. When the flow speed at the inlet is $1.5 \,m/s$. Which of the following statements are correct.

A cylinder is filled with a liquid of density d upto a height h.if the beaker is at rest , then the mean pressure on the wall is :-

The pressure at the bottom of a water tank is 4P, where P is atmospheric pressure. If water is drawn out till the water level decrease by $\frac{3}{5}$ the, then pressure at the bottom of the tank is 

The side of glass aquarium is $1m$ high and $2m$ long. When the aquarium is filled to this is the total force against the side-

Find the force exerted by water on the bottom

A gas cylinder containing cooking gas can withstand a pressure of  $14.9 atm. $ The pressure gauge of cylinder indicates  $12 atm $ at  $27 ^ { \circ } \mathrm { C } . $  Due to sudden fire in building the temperature starts rising. The temperature at which the cylinder explodes is

At the mouth of the tap, the area of cross-section is $2.0cm^{2}$ and the speed of water is $3m/s$. The area of cross-section of the water column $80cm$ below the tap is $(use g=10m/s^{2})$

oil bath (density of oil$=0.85\times { 10 }^{ 3 }kg/m^{ 3 })$ has a spherical cavity of diameter $26\times { 10 }^{ -6 }$ m at a depth of 0.2 face tension of oil is $26\times { 10 }^{ -3 }$ N/m and the pressure of air over the surface of oil is 76 cm of mercury, the 

A jet of water with cross section of $6{ cm }^{ 2 }$ strikes a wall at an angle of ${ 60 }^{ \circ  }$ to the normal and rebounds elastically from the wall without losing energy. If the velocity of the water in the jet is $12 m/s$, the force acting on the wall is

The Kinetic energy per cubic metre of a perfect gas at N.T.P. is ( Take atmospheric pressure $ = 1 \times {10^5}N/{m^2})$)

Power of a water pump is 2 kW. If $g=m/{ sec }^{ 2 }$, The amount of water it can raise in one minute to a height of 10 m/s 

A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting the viscosity, find the velocity of the water flow, if the thickness of the water layer is equal to $\mathrm { h } _ { 1 } = 30 \mathrm { cm }$ and that of the kerosene layer to $h _ { 2 } = 20 \mathrm { cm }$.Density of kerosene $= 600 \operatorname { kg } / m ^ { 3 }$

A pump motor is used to deliver water at a certain rate from the given pipe. To obtain 'n' times water from the same pipe in the same time, the amount of power of the motor should be increased to:

Equal amount of same gas in two similar cylinders $A \text { and } B$,compressed to same final volume from same initial volume one adiabatically and another isothermally, respectively then  

Water flows into a large tank with flat bottom at the rate of $  10-4 \mathrm{m}^{3} \mathrm{s}-1  $ . Water is also leaking out
of a hole of area 1 $  \mathrm{cm}^{2}  $ at its bottom. If the height of the water in the tank remains steady, then this height is:

The height to which a cylindrical vessel be filled with a homogeneous liquid, to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel is equal to:

A thermally insulated cylinder is divided into two equal halves by a thermally insulated wall. One half contains He at 600$\mathrm { K }$ and the other contains $\mathrm { H } _ { 2 }$ at 800$\mathrm { K }$ , pressure being same in two parts equal to $P _ { 0 }$ . Now, the wall is removed and two gases mix. The resulting pressure is

Two identical cylinders contain Helium at 2.5atmosphere and Argon at 1 atmosphere respectively. If both gases are transferred in one ofthe cylinders, what is the new pressure? 

By sucking through a straw, a student can reduce the pressure in his lungs to $750mm$ of $Hg$ (Density $=13.6g/{cm}^{3}$). Using the straw, he can drink water from a glass up to a maximum depth of

The pressure and temperature of two different gases is $P$ and $T$ having the volume $V$ for each. They are mixed keeping the same volume and temperature, the pressure of the mixture will be

How much work is done by an agent fcn forcing 3$\mathrm { m } ^ { 3 }$ of water through a pipe of radius 2$\mathrm { cm }$ , It the difference in pressure at the two ends of the pipe is $10 ^ { 4 } \mathrm { N } \mathrm { m } ^ { 2 } \mathrm { ? }$

A box is divided into two equal compartments by a thin partition and they are filled with gases $  P  $and $  Q  $ respectively. The two compartments have a pressure of 250 torr each. The pressure after removing the partition will be equal to

Two containers $A$ and $B$ are partly filled with water and closed. The volume of $A$ is twice that of $B$ and it contains half the amount of water in $B$. If both are at the same temperature the water vapour in the containers will have pressure in the ratio of

A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water. The quater of water flowing out per second from both holes are the same. Then radius R, is equal to :

The hydrostatic pressure on a diver $100m$ below the surface of an ocean is

Two vessels of volume 100 c.c and 150 c.c contains gases at pressure of 1 atm and 2 atm. When they are joined the common pressure is 

A tank of height H is fully filled with water.If the water rushing from a made in the tank below the free surface,strikes the floor at maximum horizontal distance then depth of the hole from the free surface must be.

A conical portion is cut out of a solid hemisphere of radius R and the remaining portion is held in a liquid of density $ \rho $ through a string as shown in the figure.What is the net force exerted by the liquid on the body.

Mark out the correct statement(s)

Pressure on a swimmer at depth H below free surface of water is 3 atm.Then H is

$28\, gm$ of $N _2$ gas is contained in a flack at a pressure of $10\, atm$ and at a temperature of $57^0$. It is found that due to leakage in the flask, the pressure is reduced to half and the temperature reduced to $27^0 C$. The quantity of $N _2$ gas that leaked out is :-

A uniform solid cylinder of density $ 0.8 g/cm^3 $ floats in equilibrium in a combination of teo non-mixing liquid A and B with its axis vertical. the densities of liquid A ad B with its axis vertical. the densities of liquid A and B are $ 0.7 g /cm^3 $ and $ 1.2 \times gm/cm^3 $. the height of liquid A is $ h _A = 1.2 cm $ and the length of the part of cylinder immersed in liquid B is $ h _B = 0.8 cm $ then the length of the cylinder in air is

When the volume of gas is reduced at constant temperature, the pressure exerted by the gas on the walls of the container increases because

A container with insulating walls is divided into equal parts by a partition fitted with a value.One part is filled with an ideal gas at a pressure P and temperature T, whereas the other part is completely evacuted.If the value is suddenly opened,the pressure and temperature of the gas will be

A cylindrical vessel of $100\ cm$ height is kept filled upto the brim. It has four holes $1, 2, 3, 4$ which are respectively at heights of $27\ cm, 30\ cm, 50\ cm$ and $80\ cm$ from the horizontal floor. The water falling at the maximum horizontal distance from the vessel comes from

Water is falling in a cylindrical tank at the rate of $ \pi m^3 / s. $ If the radius of the tank is 2 m, the rate of increases in the level of water in the tank is

The pressure and temperature of an ideal gas in a closed vessel are $720$ kpa and $40^oC$ respectively. If - th of the gas is released from the vessel and the temperature of the remaining gas is raised to $353^oC$, the final pressure of the gas is 

Two metal plates $'A'$ and $'B'$ having the same breadth but different lengths $\ell 1$ and $\ell _2 $ respectively are placed at same depth inside water such that their breadth is held exactly in vertical positions. Then, the ratio of the pressure acting on $'A'$ and $'B'$ by water is ____.

The water flowing from a garden hose fills a container $ 3 \pi $ litre in one minute.Then speed of the water coming from that pipe with opening of radius 1 cm is 

A container holds $ 10^{26} molecules / m^3 $ each of mass $ 3 \times 10^{-27} $ Kg. Assume that 1/6 of the ,molecule move with  velocity 2000 m/s directly towards one wall of the container while the remaining 5/6 of the molecules move either away from the wall or in perpendicular direction, and all collision of the molecules with the wall or in perpendicular direction, and all collision of the molecules with the wall are elastic.

To what height h should a cylindrical vessel of diameter d be filled with a liquid so that the total force on the vertical surface of the vessel be equal to the force on the bottom-

The height of liquid in a cylindrical vessel of diameter $d$ so that the total force on the vertical surface of the vessel be equal to the force on the bottom, will be:

What should be the height of liquid in a cylindrical vessel of diameter d so that the total force on the vertical surface of the vessel be equal to the force on the bottom,

To what height should a cylindrical vessel be filled with a homogeneous liquid to make the force with which the liquid pressure on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel?

The efflux velocity of a liquid of density $1500 kg m^{-3} $ from a tank in which the pressure of liquid is $1000pa$ above the atmosphere is :

A small hollow vessel open to atmosphere having a small circular hole radius $R\ mm$  in its base is immersed in a tank of water. To what depth should the base of vessel be immersed in water so that water will start coming into the vessel through the hole. ($TT$ is surface tension of water) ($\rho=$density of water).

A cylindrical vessel filled with water up to the height H becomes empty in time $ t _0 $ due to a small  hole at the bottom of the vessel. if water is filled to a height 4 H it will flow out in time 

A tank with a square base of area 2 m$^2$ is divided into two compartments by a vertical partition in the middle. There is a small hinged door of face area 20 cm$^2$ at the bottom of the partition. Water is filled in one compartment and an acid of relative density 1.53 x 10 kg m$^{-3}$ in the other, both to a height of 4 m. The force necessary to keep the door closed is (Take g = 10 m s$^{-2}$)

A vessel, whose bottom has round holes with diameter 0.1 mm, is filled with water. The maximum height up to which water can be filled without leakage is: