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If a plastic ball is put on the surface of the water on the moon, it will:

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Important Questions on Hydrostatics

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A body of density

d_{1}

is counter poised by

M g

of weights of density

d_{2}

in air of density

d

. Then the true mass of the body is

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A block of wood is floating on water at

0 ° C

with volume

V_{0}

above water. When the temperature of water increases from

0

10 ° C,

the change in the volume of the block that is above water is best described schematically by the graph.

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

The percentage volume of ice-cube outside the water when it is floating in water is ___. (Density of ice is

900 kg m^{- 3}

, Density of water

1000 kg m^{- 3}

)

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A solid sphere of radius R and density ρ is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3 ρ The complete arrangement is placed in a liquid of density 2ρ and is allowed to reach equilibrium. The correct statement(s) is (are)

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

Two non-mixing liquids of densities

ρ

and

n ρ (n > 1)

are put in a container. The height of each liquid is

h.

A solid cylinder of length

L

and density

d

is put in this container. The cylinder floats with its axis vertical and length

p L (p < 1)

in the denser liquid. The density

d

is equal to:

MEDIUM

Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A cubical block of side

0.5 m

floats on water with

30 %

of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water?
[Take, density of water

= 10^{3} k g / m^{3}

]

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A wooden block floating in a bucket of water has

\frac{4}{5}

of its volume submerged. When certain amount of an oil is poured into the bucket, it is found that the block is just under the oil surface with half of its volume under water and half in oil. The density of oil relative to that of water is:

MEDIUM

Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A submarine experiences a pressure of

5.05 \times 10^{6} P a

at a depth of

d_{1}

in a sea. When it goes further to a depth of

d_{2}

, it experiences a pressure of

8.08 \times 10^{6} P a

. Then

d_{2} - d_{1}

is approximately (density of water

= 10^{3} k g / m^{3}

and acceleration due to gravity

= 10 m s^{- 2}

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A slender homogeneous rod of length 2L floats partly immersed in water, being supported by a string fastened to one of its ends, as shown. The specific gravity of the rod is 0.75. The length of rod that extends out of water is

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A solid floats in a liquid in a partially dipped position. Which of the following are true?

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A wooden block, with a coin a placed on its top, floats in water as shown in the figure the distance

l

and

h

are shown there. After, some time the coin falls into the water. Then

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A container of large surface area is filled with liquid of density

ρ

. A cubical block of side edge a and mass M is floating in it with four-fifth of its volume submerged. If a coin of mass m is placed gently on the top surface of the block is just submerged. M is

HARD

Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A body totally immersed in water is raised in the water by a height

h .

The density of the body is

d

and the density of water is

d_{0}

, while the volume of the body is

V

and

d > d_{0} .

Which of the given statements will be true?

HARD

Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

Two cubes of size

1.0 m

sides, one of relative density

0.60

and another of relative density

= 1.15

are connected by weightless wire and placed in a large tank of water. Under equilibrium the lighter cube will project above the water surface to a height of

HARD

Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A solid sphere of mass m, suspended through a string in a liquid as shown. The string has some tension. Magnitudes of net force due to liquid on upper hemisphere and that on lower hemisphere are $F_{A}$ and $F_{B}$ respectively. Which of the is/are true.
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HARD

Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A concrete sphere of radius R has a cavity of radius r which is packed with sawdust. The specific gravities of concrete and sawdust are respectively 2.4 and 0.3 For this sphere to float with its entire volume submerged under water, ratio of mass of concrete to mass of sawdust will be

MEDIUM

Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

Three identical blocks each of mass

m = 1 kg

and volume

3 \times 10^{- 4} m^{3}

are suspended by massless strings from a support as shown. Underneath are three identical containers containing the same amount of water that are placed over the scales. In diagram (

a

), the block is completely out of water; in diagram (

b

), the block is completely submerged but not touching the beaker and in diagram (

c

), the block rests on the bottom of the beaker. The scale in diagram (

a

) reads

14 N

(g = 10 m s^{- 2})

HARD

Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

Some pieces of impurity

(d e n s i t y = ρ)

are embedded in ice. This ice is floating in water.

(d e n s i t y = ρ_{w})

. When ice melts, the level of water will
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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

A solid is completely immersed in a liquid. The force exerted by the liquid on the solid will

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Physics>Mechanical Properties of Matter>Hydrostatics>Buoyancy and Archimedes' Principle

If air of weight $w$ is filled in a empty balloon which weighs $w_{1}$ , the weight of balloon will become $w_{2}$ . Suppose the density of air inside and outside the balloon is same, then

If a plastic ball is put on the surface of the water on the moon, it will:

Important Questions on Hydrostatics

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