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The pressure exerted by the applied force of magnitude $10 \sqrt{2} N$ on the horizontal surface area of $\sqrt{2} m^{2}$ as shown in the figure is

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Important Questions on Mechanical Properties of Fluids

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

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

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

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>Pressure Inside a Fluid

A cylindrical block of wood (density = $650 kg m^{- 3}$ ), of base area $30 {cm}^{2}$ and height $54 cm$ , floats in a liquid of density $900 kg m^{- 3}$ . The block is depressed slightly and then released. The time period of the resulting oscillations of the block would be equal to that of a simple pendulum of length (nearly) :

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

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

HARD

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

A thin uniform tube is bent into a circle of radius r in the vertical plane. Equal volumes of two immiscible liquids, Whose densities are

ρ_{1}

and

ρ_{2} (ρ_{1} > ρ_{2}),

fill half the circle. The angle

θ

between the radius vector passing through the common interface and the vertical is:

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

A tall tank filled with water has an irregular shape as shown. The wall,

C D

makes an angle of,

45^{o}

with the horizontal; the wall,

A B

is normal to the base,

B C

. The lengths,

A B

and,

C D

are much smaller than the height,

h

of water (figure not to scale).
Question Image

Let

P_{1}, P_{2}

and

P_{3}

be the pressures exerted by the water on the wall

A B

, base

B C

, and the wall

C D

, respectively. The density of water is,

ρ

and,

g

is the acceleration due to gravity. Then, approximately

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

A uniform cylinder of length

L

and mass

M

having cross-sectional area

A

is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of density

σ

at equilibrium position. The extension

x_{0}

of the spring when it is in equilibrium is :

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

U

tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of

10 mm

above the water level on the other side. Meanwhile, the water rises by

65 mm

from its original level (see diagram). The density of the oil is ____

(ρ_{w} = 1000 kg m^{- 3})

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

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.

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

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>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

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>Pressure Inside a Fluid

The dimensions for pressure is

HARD

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

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>Pressure Inside a Fluid

A nurse measures the blood pressure of a seated patient to be

190 mm

Hg

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

A cylindrical vessel of base radius $R$ and height $H$ has a narrow neck of height $h$ and radius $r$ at one end (see figure). The vessel is filled with water (density $ρ_{w}$ ) and its neck is filled with immiscible oil (density $ρ_{0}$ ). Then the pressure at;
Question Image

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

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>Pressure Inside a Fluid

There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d₁ and d₂ are filled in the tube. Each liquid subtends 90^o angle at centre. Radius joining their interface makes an angle

α

with vertical. Ratio

\frac{d_{1}}{d_{2}}

is:

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is

5 cm

and its rotational speed is

2

rotations per second, then the difference in the heights between the center and the sides, in

cm,

will be:

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

A glass flask weighing

390 g

, having internal volume

500 cc

just floats when half of it is filled with water. Specific gravity of the glass is

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Pressure Inside a Fluid

The density of kerosene is

800 kg m^{- 3}

. Its relative density is

The pressure exerted by the applied force of magnitude 102 N on the horizontal surface area of 2 m2 as shown in the figure is

Important Questions on Mechanical Properties of Fluids

Learn and Prepare for any exam you want !

The pressure exerted by the applied force of magnitude $10 \sqrt{2} N$ on the horizontal surface area of $\sqrt{2} m^{2}$ as shown in the figure is