A cube of size 10 cm is floating in equilibrium in a tank of water. When a mass of 10 gm is placed on the cube, the depth of cube inside water increases by $\mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 }$ density of water $= 1000 \mathrm { kg } / \mathrm { m } ^ { 3 } )$

A hydrogen balloon released on the moon would:

Statement I:- A block is immersed in a liquid inside a beaker,which is falling freely. Buoyant force acting on block is zero.
Statement II:- In case of freely falling liquid there is no pressure difference between any two points.

Ice floats on the surface of water because its density is ______ that of water.

A block of wood floats in water with two-third of its volume submerged. Find the density of wood. Density of water is $10^3\ kg/m^3.$

A body of density $\rho$ sinks in a liquid of denisty $\rho _L$. The densities $\rho$ and $\rho _L$ are related as:

The hot air balloon rises because it has a gas that is

If a piece of ice floating on the surface of water in a beaker melts completely, the level of water

State whether true or false:

What can you say about the average density of a ship floating on water in relation to the density of water?

Give reasons as to why It is easier to swim in sea water than in river water. 

Give reasons as to why bodies like cork or wood float in water.

Give reasons as to why bodies like stones and metals sink in water.

A hot air balloon rises because it is filled with a gas :

What happens when an object having density less than that of water is immersed in it?

If the weight of the body immersed in the liquid is equal to the force of buoyancy acting on it, then the body will

A piece of ice is floating in a jar containing water. When ice melts, the temperature of water falls from $4^0C$ to $1^0C$. The level of water :

A steel wire of length 1 m and cross-sectional area $1.5 mm^2$ is hung from. rigid support, with a stone of volume 2000 cm^3 hanging from the other end. Find the decrease in the length of the wire, when the stone is completely immersed in water. (Ysteel = $210^11 Nm^-2$, $\rho$ water = $103 kgm^-3$)

A cubical block of iron of side $5cm$ is floating in mercury taken in a vessel. What is the height of the block above mercury level. $(\rho _{Hg}=13.6g/cm^3 ,\rho _{fe}=7.2 g/cm^3)$

An ice berg is floating in sea water. The density of ice is $ 0.92\, gm\,cm^{-3}$ and that of sea water is $ 1.03\,gm\,cm^{-3}$. The  percentage of ice berg below surface of water is 

A person of mass $m$ is standing on one end of a plank of mass $M$ and length $L$ and floating in water. The person moves from one end to another and stops. The displacement of the plank is :

A cube of 3 side L floats in a liquid of density 3 times the density of cube. What length of the cube will out side the liquid?

A wire of length L M made a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water the maximum diameter of the wire in millimetre which it can continue to floaters

If an ice cube a with impurities is floating in the water container and after few minutes ice melts and impurities  are sink down then find the level of water in that container :

A beaker containing water weighs $100$ g. It is placed on the pan of a balance and a piece of metal  weighing 70 g and having a volume of $10c{m^3}$ is placed inside the water in beaker. The weight of the beaker and the metal would be:

equal to the weight of the immersed part of the body 2 . A raft of wood of mass 120 kg floats in water . The weight C that can be on the raft on make it just sink , should be $(d _{raft} = 600 kg/m _{3} )$

A wooden cube floating in water supports a mass $0.2 kg$ When the mass is removed the cube rises by $2 cm.$ The side of the cube is (density of water=${10^3}kg/{m^3}$)

The material of wire has specific gravity 8. It is not wetted by water, what is the diameter of the wire that will float on the surface of water?(T =70 dy /cm)

A ball rise with constant velocity, to the surface of a liquid whose density is four times that of the ball. The ratio of the v force to weight of the ball is

A balloon has volume of 1000 $m^{3}$ . It is filled with hydrogen ($ \rho $ = 0.09 g/L ) . If the density of air is 1.29 g/L , it can lift a total weight of 

 An ice cube is floating on the surface of water. How will the water level be affected by melting of this ice cube?

A body is float inside liquid. If we increase temperature then what charges occur in buoyancy force?(Assume body is always in floating condition )

A wooden cube floats just inside the water, when a mass of $x$ (in grams) is placed on it. If the mass is removed, the cube floats with a height $\dfrac{x}{100}\ cm$ above the water surface. The length of the side of cube is (density of water is $1000\ kg/m^{3}$)

If the density of a block is $981kg/{m^3}$ then it shall

A cork of density $0.5\,gc{m^{ - 3}}$ floats on a calm swimming pool. The fraction of the cork's volume which is under water is:-

Consider a small balloon filled with an ideal gas which is submerged in water. Assuming that the temperature is the same everywhere in the water, the buoyant force on the balloon when it is at a depth d below the surface, in terms of its volume at the surface $V _ { 0 }$ , the atmospheric pressure $P _ { 0 }$ , the density of water $\rho _ { 0 }$ , and the acceleration due to gravity g.

A body is floating in water with $80$% of its volume below the surface of water. What is the density of body?

A body of mass $6kg$ immerses in water partially. If the body displaces $100$ g of water, then the apparent weight of the body is

A boat is floating in water at $0^{ \circ  }C$ such that 97% of the volume of the boat is submerged in water . The temperature at which the boat will just completely sink in water is $(\gamma _{ R }=3\times { 10 }^{ -4 }/{ ^{ 0 }C })(nearly)$ 

A dog weighing 5n kg is standing on a flat boat so that it is 10m from the shore . The dog walks 4 m on the boat towards the shore and then halts. The boat weighs 20kg and one can assume that there is no friction between it and the water .How far is the dog from the shore at the end of this time ?

A wooden cylinder floats vertically in water with half of its length immersed, Density of wood is

A wooden cube floats in water partially immersed. When 200 g weight is put on the cube, it further immersed by 2 cm. The length of the side of the cube is

A ball weighing  $4 kg$  of density  $4000{ kg }\quad { m }^{ { -3 } }$  is completely immersed in water of density  $1000{ kg }\quad { m }^{ { -3 } }.$  Find the force of buoyancy on it. (Given $g = 10 { ms } ^ { - 2 }$)

A ship of mass $ 3 \times10$ initially at rest is pulled by a force of $5\times 10$ N  through a distance of  Assuming that the resistance due to water is negligible, the speed of the ship is 

A balloon has volume of $1500\, m^3$. It is filled with hydrogen $(\rho = 0.09\, gL^{-1})$. If the density of air is $1.29\, gL^{-1}$, it can lift a total weight of 

An object measuring $2\times 2\times 5{cm}^{3}$ has a mass of $16g$. It is put in water of density $1g/cc$. Percentage of its volume outside water while floating is

lce pieces are floating in a beaker  $A$  containing water and also in a beaker  $B$  containing miscible liquid of specific gravity  $1.2 .$  When ice melts, the level of

Statement I:- An ice ball is floating in water. Some stone pieces are embedded inside the ice. When ice will melt level of water will fall.
Statement I:- In floating condition,stone pieces will displace more liquid compared to the condition when they sink.

A block of wood is floating in water in a closed vessel as shown in the figure. The vessel is connected to an air pump. When more air is pushed into the vessel, the block of wood floats with : (neglect compressibility of water)

A block of wood floats is water with $ 2/5^{th} $ of its volume above the surface Calculate the density of wood.

A block of wood floats in a liquid with four-fifths of its volume submerged. If the relative density of wood is $0.8$, what is the density of the liquid in units of $kg\, m^{-3}$?

We have two different liquids A and B whose relative densities are 0.75 and 1.0, respectively. If we dip solid objects P and Q having relative densities 0.6 and 0.9 in these liquids, then:

A metallic wire of length, "l" is lying horizontally on the surface of liquid of density $ '\rho' $ The maximum radius of wire so that it may not sink will be

A cube of wood supporting a $200$ gm mass just floats in water. When the mass is removed the cube rises $2$ cm at equilibrium. Find size of the cube.

A cubical box of wood of side $30\, cm$ weighing $21.6\, kg$ floats on water with two faces horizontal. The depth of immersion of box is :

A wire of length $L$ metrs, made of a material of specific gravity $8$ is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in mm) up to which it can continue to float is (surface tension of water is) ($T=70\times 10^{-3} \ N/m$)

A hollow cylinder of copper of length $25\, cm$ and area of cross-section $15\, cm^2$, floats in water with $3/5$ of its length inside water. Then 

Two solids $A$ and $B$ float in water. It is observed that $A$ floats with half its volume immersed and $B$ floats with $\dfrac{2}{3}$ of its volume immersed. Compare the densities of A and B.

The weight of the liquid displacement by a body when the body is immersed in it is called 

A wooden cube of size $ 1 m\times 1 m\times 1 m$ of relative density 0.5 floats in water with its four faces vertical. The work done by in just submerging the tube by pushing it downward is

Ice ______ in water, because the weight of water displaced by the immersed part of the ice is _____ its own weight 

An ice-berg floating partly immersed in sea water of density $1.03 g/cm^3$. The density of ice is $0.92 g/cm^3$. The fraction of the total volume of the iceberg above the level of sea water is

A wooden cylinder floats in water such that $4 cm$ of it is above water, if the same cylinder is made to float in alcohol (density $0.8gm^{-3}$), the length of cylinder above alcohol will be 

A wooden cube of side $10 \ cm$ has mass $700 \ g$. The part of it remains above the water surface while floating vertically on water surface is $X\ cm$. Find $X$.

A block of wood is so loaded that it just floats in water at room temperature. What change will occur in the state of floatation, if water is heated? 

A block of wood is so loaded that it just floats in water at room temperature. What change will occur in the state of floatation, if some salt is added to water?

Iron floats on the surface of mercury because its density is _____ the mercury

Object having density less than that of the liquid in which they are immersed, _______on the surface of the liquid.

A tin can has a volume of $1000cm^3$ and a mass of $100g$. What mass of lead shot can it carry without sinking in water $(\rho=1000kg/m^3)$?

A block of ice of total area A and thickness 0.5 m is floating in water. In order to just support a man of mass 100 kg, the area A should be (the specific gravity ofice is 0.9):

The density of ice is $920kg/m^3$, and that of sea water is $1030kg/m^3$. What fraction of the total volume of an iceberg is outside the water?

An egg sinks when immersed in water contained in a vessel. On dissolving a lot of salt in the water,will the egg

A body floats in water because of:

Two solids A and B float in water. It is observed that A floats with half its volume immersed and B floats with $2/3$ of its volume immersed. Compare the densities of A and B:

A piece of ice is floating in a concentrated solution of common salt (in water) in a pot. When ice melts completely, the level of solution will 

An ice cube is floating in a glass of water. What happens to the water level when the ice melts?

A ball rises to the surface of a liquid with constant velocity. The density of the liquid is four times the density of the material of the ball. The frictional force of the liquid on the rising ball is greater than the weight of the ball by a factor of

An ice cube contains a glass ball. The cube is floating on the surface of water contained in a trough on the surface of water contained in a trough. What will happen to the water level, when the cube melts?

A cylindrical block floats vertically in a liquid of density ${\rho} _1$ kept in a container such that the fraction of volume of the cylinder inside the liquid is $x _1$. then some amount of another immiscible liquid of density ${\rho} _2 ({\rho} _2 < {\rho} _1)$ is added to the liquid in the container so that the cylinder now floats just fully immersed in the liquids with $x _2$ fraction of volume of the cylinder inside the liquid of density ${\rho} _1$. The ratio ${\rho} _1 / {\rho} _2$ will be

A solid floats in a liquid in the partially submerged position:

In a beaker containing liquid, an ice cube is floating. When ice melts completely, the level of liquid rises. Then the density of the liquid is:

An ice cube contains a large air bubble. The cube is floating on the surface of water contained on a trough. What will happen to the water level, when the cube melts?