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Hydraulic jack is based upon the principle of (Newton's/ Pascal's) law.

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Important Questions on Mechanical Properties of Fluids

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

The liquid shown in the figure in the two arms is mercury (specific gravity $13.6$ ) and water. If the difference of heights of the mercury column is $2 cm$ , the height $h$ of the water column is

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MEDIUM

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

Consider two wires of same material having their ratio of radii to be

2 : 1

. If these two wires are stretched by equal force, the ratio of stress produced in them is :

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

The pressure acting on a submarine is

3 \times 10^{5} Pa

at a certain depth. If the depth is doubled, the percentage increase in the pressure acting on the submarine would be: (Assume that atmospheric pressure is

1 \times 10^{5} Pa

density of water is

10^{3} kg m^{- 3}, g = 10 {ms}^{- 2}

)

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

The pressure at the bottom of a tank of liquid is not proportional to

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

One ton stone is put on a larger piston of diameter

40 cm

of a hydraulic lift and a pressure

P

has to be applied on the smaller piston of diameter

2 cm

, to lift the stone. The pressure

P

, is approximately

MEDIUM

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

A spherical marble of radius $1 cm$ is stuck in a circular hole of radius slightly smaller than its own radius (for calculation purpose, both can be taken same) at the bottom of a bucket of height $40 cm$ and filled with water up to $10 cm$ . If the mass of the marble is $20 g$ , the net force on the marble due to water is close to

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EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

A hydraulic press can lift

100 kg

when a mass

m

is placed on the smaller piston.How much mass (in

k g

) can it lift when the diameter of the larger piston is increased by

4

times and that of the smaller piston is decreased by

4

times keeping the same mass

m

on the smaller piston.

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal’s principle is observed.

Reason R: A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.

In the light of the above statements, choose the most appropriate answer from the options given below.

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

Water stands upto height $' h'$ behind the dam as shown in the figure. The front view of the dam gate is also shown in the adjoining figure. Density of water is $' ρ'$ and acceleration due to gravity is $' g'$ . If atmospheric pressure force is also considered, the point of application of total force acting on the dam due to water above $' o'$ is_____

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EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

The pressure at the bottom of a liquid tank is not proportional to the

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

A long container has a square base of side

L

. The height to which water should be filled so that the force on one of its side surface is the same as that at its bottom is (ignore atmospheric pressure)

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

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).
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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

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

In a hydraulic lift, compressed air exerts a force

F

on a small piston of radius

3 cm

. Due to this pressure the second piston of radius

5 cm

lifts a load of

1875 kg

. The value of

F

is
(Acceleration due to gravity

= 10 m s^{- 2}

)

HARD

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

U

-shaped tube is partially filled with an incompressible liquid of density

1.2 g {cm}^{- 3} .

Oil which does not mix with the liquid is next poured into the left side of the

U

-tube until the liquid rises by,

15 cm

on the right side of

U

-tube. If the density of the oil is

0.9 g {cm}^{- 3},

the oil level will stand higher than the liquid level of the right side of

U

-tube by

EASY

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

Given below are two statements:

Statement I: Pressure in a reservoir of water is same at all points at the same level of water.

Statement II: The pressure applied to enclosed water is transmitted in all directions equally.

In the light of the above statements, choose the correct answer from the options given below:

HARD

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

Two narrow bores of diameter

5.0 mm

and

8.0 mm

are joined together to form a

U -

shaped tube open at both ends. If this

U -

tube contains water, what is the difference in the level of two limbs of the tube.
[Take surface tension of water

T = 7.3 \times 10^{- 2} N m^{- 1}

, angle of contact

= 0, g = 10 {m s}^{- 2}

and density of water

= 1.0 \times 10^{3} kg m^{- 3}]

HARD

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

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:

HARD

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

A submarine has a window of area

30 \times 30 {cm}^{2}

on its ceiling and is at a depth of

100 m

below sea level in a sea. If the pressure inside the submarine is maintained at the sea-level atmosphere pressure, then the force acting on the window is (consider density of sea water

= 1.03 \times 10^{3} kg m^{- 3}

acceleration due to gravity

= 10 m s^{- 2}

MEDIUM

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

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:

HARD

Physics>Mechanical Properties of Matter>Mechanical Properties of Fluids>Pascal's Law

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

190 mm

Hg

Hydraulic jack is based upon the principle of (Newton's/ Pascal's) law.

Important Questions on Mechanical Properties of Fluids

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