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A cork of mass $m$ and having density one fourth of the surrounding liquid is tied to the bottom of container filled with liquid as shown. The tension in the string that ties cork with the container bottom is equal to

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Important Questions on Mechanical Properties of Fluids

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

Directions: Each of the following sentences in this section has a blank space and four words or group of words given after the sentence. Select the word or group of words you consider most appropriate for the blank space and indicate your response on the Answer Sheet accordingly.

Every rash driver becomes a ____ killer.

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:

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}

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

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

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 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

Two sentences are given below and you are required to find the correct sentence which combines both the sentences.

Which is the correct combination of the given two sentences?

He is too tired. He could not stand.

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

In the following sentence, a blank space with four options is given. Select whichever preposition or determiner you consider the most appropriate for the blank space.

These are the good rules to live _____.

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 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

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 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

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

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}

]

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)

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 cork of mass m and having density one fourth of the surrounding liquid is tied to the bottom of container filled with liquid as shown. The tension in the string that ties cork with the container bottom is equal to

Important Questions on Mechanical Properties of Fluids

Learn and Prepare for any exam you want !

A cork of mass $m$ and having density one fourth of the surrounding liquid is tied to the bottom of container filled with liquid as shown. The tension in the string that ties cork with the container bottom is equal to