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Prove that the loss in weight of a body ...

Prove that the loss in weight of a body when immersed wholly or partially in a liquid is equal to the buoyant force (or upthrust) and this loss is because of the difference in pressure exerted by liquid on the upper and lower surfaces of the submerged part of the body.

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Fluids at rest exert a normal force to the walls of the container or to the sruface of the body immersed in the fluid. The pressure exerted by this force at a point inside the liqid is the sum of atmospheric pressure and a factor which depends on the density of the liquid, the acceleration due to gravity and the height of the liquid, above that point. The upthrust acting on a body immersed in a stationary liquid is the net force acting on the body in the upward direction. A number of phenomenon of liquids in motion can be explain by Bernoulli's theorem which relates the pressure, flow speed and height for flow of an ideal incompressible fluid. A container of large uniform corss sectional area. A resting on a horizontal surface holds two immiscible, non viscous and incompressile liquids of densities d and 2d , each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . Situation I: A homogeneous solid cylinder of length L(LltH//2) . cross sectional area A//5 is immersed such that it floats with its axis vertical at liquid -liquid interface with lenght L//4 in the denser liquid. The total pressure at the bottom of the container is

Fluids at rest exert a normal force to the walls of the container or to the sruface of the Body immersed in the fluid. The pressure exerted by this force at a point inside the liqid is the sum of atmospheric pressure and a factor which depends on the density of the liquid, the acceleration due to gravity and the height of the liquid, above that point. The upthrust acting on a body immersed in a stationary liquid is the net force acting on the body in the upward direction. A number of phenomenon of liquids in motion can be explain by Bernoulli's theorem which relates the pressure, flow speed and height for flow of an ideal incompressible fluid. A container of large uniform corss sectional area. A resting on a horizontal surface holds two immiscible, non viscous and incompressile liquids of densities d and 2d , each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . Situation I: A homogeneous solid cylinder of length L(LltH//2) . cross sectional area A//5 is immersed such that it floats with its axis vertical at liquid -liquid interface with lenght L//4 in the denser liquid. The density of the solid is

Fluids at rest exert a normal force to the walls of the container or to the sruface of the body immersed in the fluid. The pressure exerted by this force at a point inside the liqid is the sum of atmospheric pressure and a factor which depends on the density of the liquid, the acceleration due to gravity and the height of the liquid, above that point. The upthrust acting on a body immersed in a stationary liquid is the net force acting on the body in the upward direction. A number of phenomenon of liquids in motion can be explain by Bernoulli's theorem which relates the pressure, flow speed and height for flow of an ideal incompressible fluid. A container of large uniform corss sectional area. A resting on a horizontal surface holds two immiscible, non viscous and incompressile liquids of densities d and 2d , each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . Situation II: A cyliner is removed and the original arrangement is restoreed.A tiny hole of area s(slt ltA) is punched on the veritical sideof the containier at a height h(hltH//2) The horizontal distance x travelled by the liquid is

Fluids at rest exert a normal force to the walls of the container or to the sruface of the body immersed in the fluid. The pressure exerted by this force at a point inside the liqid is the sum of atmospheric pressure and a factor which depends on the density of the liquid, the acceleration due to gravity and the height of the liquid, above that point. The upthrust acting on a body immersed in a stationary liquid is the net force acting on the body in the upward direction. A number of phenomenon of liquids in motion can be explain by Bernoulli's theorem which relates the pressure, flow speed and height for flow of an ideal incompressible fluid. A container of large uniform corss sectional area. A resting on a horizontal surface holds two immiscible, non viscous and incompressile liquids of densities d and 2d , each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . Situation II: A cyliner is removed and the original arrangement is restoreed.A tiny hole of area s(slt ltA) is punched on the veritical side of the containier at a height h(hltH//2) The height h_(m) at which the hole should be punched so that the liquid travels the maximum distance is

Fluids at rest exert a normal force to the walls of the container or to the sruface of the body immersed in the fluid. The pressure exerted by this force at a point inside the liqid is the sum of atmospheric pressure and a factor which depends on the density of the liquid, the acceleration due to gravity and the height of the liquid, above that point. The upthrust acting on a body immersed in a stationary liquid is the net force acting on the body in the upward direction. A number of phenomenon of liquids in motion can be explain by Bernoulli's theorem which relates the pressure, flow speed and height for flow of an ideal incompressible fluid. A container of large uniform cross sectional area. A resting on a horizontal surface holds two immiscible, non viscous and incompressile liquids of densities d and 2d , each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . Situation II: A cyliner is removed and the original arrangement is restored.A tiny hole of area s(slt ltA) is punched on the veritical sideof the containier at a height h(hltH//2) The initial speed of efflux of the liquid at the hole is

ICSE-UPTHRUST IN FLUIDS, ARCHIMEDES' PRINCIPLE AND FLOATATION-EXERCISE 5(A)
  1. Will a body weigh more in air or in vacuum when weiged with a spring b...

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  2. a metal solid cylinder tied ot a thread is hanging from the hook of a ...

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  3. A body dipped into a liquid experiences an upthrust. State two factors...

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  4. How is the upthrust related to the volume of the body submerged in a l...

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  5. A bunch of feathers and a stone of the same mass are released simultan...

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  6. A body experiences an upthrust F(1) in river water and F(2) in sea wat...

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  7. A small block of wood is held completely immersed in (i) water (ii) gl...

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  8. A body of volume V and density rho is kept completely immersed in a li...

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  9. A body held completely immersed inside a liquid experiences two forces...

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  10. Complete the following sentences: Two balls, one of iron and the oth...

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  11. Complete the following sentences: An empty tin container with its mo...

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  12. Complete the following sentences: A piece of wood is held under wate...

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  13. Prove that the loss in weight of a body when immersed wholly or partia...

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  14. A sphere of iron and another of wood the same radius are held under wa...

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  15. A shpere of iron and another of wood, both of same radius are placed o...

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  16. How does the density of material of a body determine whether it will f...

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  17. A body of density rho is immersed in a liquid of density rho(L).State ...

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  18. It is easier to lift a heavy stone under water than in air. Explain.

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  19. State Archimedes, principle.

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  20. Describe an experiment to verify Archimedes' principle.

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