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A body is just floating on the surface of liquid. Consider that the density of the body is same as that of the liquid. Now if the body is slightly pushed down, then it will

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Important Questions on Mechanical Properties of Fluids

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

A block of wood floats in water with

(4 / 5)^{th}

of its volume submerged. If the same block just floats in a liquid, the density of liquid in

(kg m^{- 3})

HARD

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

Consider a solid sphere of radius

R

and mass density

ρ (r) = ρ_{0} (1 - \frac{r^{2}}{R^{2}}), 0 < r \leq R .

The minimum density of a liquid in which it will float is:

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

An ice-berg of density

900 kg m^{- 3}

is floating in water of density

1000 kg m^{- 3}

. The percentage of volume of ice-berg outside the water is

EASY

Physics>Mechanics>Mechanical Properties of Fluids>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}

)

HARD

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

A machine is blowing spherical soap bubbles of different radii filled with helium gas. It is found that if the bubbles have a radius smaller than

1 cm

, then they sink to the floor in still air. Larger bubbles float in the air. Assume that the thickness of the soap film in all bubbles is uniform and equal. Assume that the density of soap solution is the same as that of water

(1000 kg m^{- 3}) .

The density of helium inside the bubbles and air are

0.18 kg m^{- 3} & 1.23 kg m^{- 3}

, respectively. Then the thickness of the soap film of the bubbles is

(1 μm = 10^{- 6} m)

HARD

Physics>Mechanics>Mechanical Properties of Fluids>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

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

An aluminium sphere is dipped into water. Which of the following is true?

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

A piece of ice is tied using a string to the bottom of bucket $A$ . The bucket is filled with water with ice completely submerged in it. Another bucket $B$ is filled with water and a piece of ice is released in water. If floats on the surface of water (see Fig.). What would be the impact on the level of water in the two buckets, when ice pieces melt away completely?

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MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>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}

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>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}

]

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

A vessel contains oil (density

= 0.8 g {cm}^{- 3}

) over mercury (density

= 13.6 g {cm}^{- 3}

). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere (in

g {cm}^{- 3}

) is

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

A body

P

floats in water with half its volume immersed. Another body

Q

floats in a liquid of density

\frac{3}{4} t h

of the density of water with two-third of the volume immersed. The ratio of density of

P

to that of

Q

HARD

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

A very large block of ice of the size of a volleyball court and of uniform thickness of

8 m

is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is

ρ_{i} = 0.917 g {cm}^{- 3}

HARD

Physics>Mechanics>Mechanical Properties of Fluids>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.

HARD

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

Two glasses with identical volumes are filled with water to the half-way mark and are kept side by side. Two solid cubes made of the same metal are now dropped into the two glasses and both of them sink in the water. The first glass is completely filled now. The second glass is still

{\frac{7}{16}}^{th}

empty. The ratio of the surface areas of the cubes dropped into the first and the second glass is

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

A piece of ice is floating in a beaker containing water, when the ice melts then the level of water will:

HARD

Physics>Mechanics>Mechanical Properties of Fluids>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>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

A box, when hung from a spring balance shows a reading of

50 kg

. If the same box is hung from the same spring balance inside an evacuated chamber, the reading on the scale will be

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Archimedes' Principle

A body of density

ρ

and volume

V

is lifted through height

h

in a liquid of density

σ (< ρ) .

The increase in potential energy of the body is

A body is just floating on the surface of liquid. Consider that the density of the body is same as that of the liquid. Now if the body is slightly pushed down, then it will

Important Questions on Mechanical Properties of Fluids

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