Mechanical Properties of Fluids Test

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Mechanical Properties of Fluids Test - 7

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Weekly Quiz Competition

Question 1
4 / -1

Bernoulli’s theorem includes as a special case of:

A
Torricelli’s law

B
Hooke’s law

C
Archimedes’ principle

D
Pascal’s law

Solution

Torricelli's law states that the speed of efflux, v of a fluid through a sharp-edged hole at the bottom of a tank filled to a depth h is the same as the speed that a body (in this case a drop of water) would acquire in falling freely from a height h.
This problem is solved using Bernoulli's equation,
gh+P_atm/ρ=v²/2+P_atm/ρ
⟹v=√2gh
Question 2
4 / -1

Bernoulli’s theorem is important in the field of:

A
Photoelectric effect

B
Flow of liquids

C
Magnetism

D
Electrical cells

Solution

The Bernoulli equation is an important expression relating pressure, height and velocity of a fluid at one point along its flow.
Question 3
4 / -1

Water is flowing through a horizontal tube. The pressure of the liquid in the portion where velocity is 2 m/s is 2 m of Hg. What will be the pressure in the portion where velocity is 4 m/s?

A
2.84×10⁵Pa

B
2.78×10⁵Pa

C
2.66×10⁵Pa

D
2.60×10⁵Pa

Solution
Question 4
4 / -1

Air is streaming past a horizontal airplane wing such that its speed is 120 m/s over the upper surface and 90 m/s at the lower surface. If the density of the air is 1.3 kg/m³and the wing is 10 m long and has an average width of 2 m, then the difference of pressure on the two sides of the wing is

A
4.095 Pa

B
405.9 Pa

C
4095 Pa

D
40.95 Pa

Solution

Applying Bernoulli's principle, we have
P₁+1/2ρv₁²=P₂+1/2ρv₂²
⇒P₂−P₁=1/2ρ (v2/1−v2/2)
⇒ΔP=1/2×1.3× (120²−90²)
⇒ΔP=0.65× (120+90) × (120−90)
⇒ΔP=0.65×210×30=4095Pa
Question 5
4 / -1

In which of the following types of flows is the Bernoulli’s theorem strictly applicable:

A
Streamlined and rotational

B
Turbulent and rotational

C
Turbulent and irrotational

D
Streamlined and irrotational

Solution

Bernoulli's principle is applicable on those non-viscous liquids which have laminar flow or streamlined flow.
It means that a liquid in which its particles exert no force on each other, i.e., the speed of all the particles of the liquid is same.
Also, the liquid should travel in the form of streamlines, i.e., the liquid flowing in one pipeline (imaginary pipeline) should not mix in the liquid in another pipeline. This is called streamlined flow.
Also, turbulent flow is the opposite of streamlined flow. So, turbulent liquid will not obey Bernoulli's principle.
But if the liquid is rotated, this streamlined flow will not take place. Thus Bernoulli's principle will not be applicable to this type of liquid.
Question 6
4 / -1

In the houses far away from the municipal water tanks often people find it difficult to get water on the top floor. This happens because

A
water wets the pipe

B
the pipes are not of uniform diameter

C
the viscosity of the water is high

D
of loss of pressure during the flow of water

Solution

In the houses far away from the municipal water tanks often people find it difficult to get water on the top floor. This happens because a lot of water pressure is lost as friction between water and the pipeline.
Question 7
4 / -1

Water is flowing through a pipe under constant pressure. At some place the pipe becomes narrow. The pressure of water at this place:

A
remains the same

B
depends on several factors

C
decreases

D
increases

Solution

Given, That area of cross section at initial point is more than the final point,
From the equation of continuity, we can say that velocity at the final point is more than initial point.
Bernoulli theorem states that
At final point, the velocity is more, so the pressure will be less.
Therefore the pressure decreases
Question 8
4 / -1

Water is flowing through a horizontal pipe in streamline flow at the narrowest part of the pipe:

A
Both pressure and the velocity remains constant

B
velocity is maximum and pressure is minimum

C
both the pressure and velocity are maximum

D
both the pressure and velocity are minimum

Solution

Since Av has to be constant so as A decreases v has to increase and according to Bernaulli’s Theorem the sum of energies should be conserved. Since KE is high the pressure energy should be low.
Question 9
4 / -1

To which type of fluid is the Bernoulli’s theorem applicable:

A
Incompressible and anisotropic

B
Incompressible and viscous

C
Compressible and anisotropic

D
Incompressible, isotropic and non viscous

Solution

Bernoulli's theorem, in fluid dynamics, relation among the pressure, velocity, and elevation in a moving fluid (liquid or gas), the compressibility and viscosity (internal friction) of which are negligible and the flow of which is steady, or laminar.
Bernoulli's principle is applicable on those non-viscous liquids which have laminar flow or streamlined flow.
It means that a liquid in which its particles exert no force on each other, i.e., the speed of all the particles of the liquid is same.
Also, the liquid should travel in the form of streamlines, i.e., the liquid flowing in one pipeline (imaginary pipeline) should not mix in the liquid in another pipeline. This is called streamlined flow.
Also, turbulent flow is the opposite of streamlined flow. So, turbulent liquid will not obey Bernoulli's principle.
But if the liquid is rotated, this streamlined flow will not take place. Thus Bernoulli's principle will not be applicable to this type of liquid.
Question 10
4 / -1

Bernoulli’s principle is based on the conservation of:

A
Momentum

B
Energy and momentum both

C
Mass

D
Energy

Solution

Bernoulli's principle can even be derived from the principle of conservation of energy. Bernoulli's principle states that, in a steady flow, the sum of all forms of energy in a fluid along a streamline is the same at all points on that streamline.

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Re-Attempt Weekly Quiz Competition

Mechanical Properties of Fluids Test - 7

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Mechanical Properties of Fluids Test - 7

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SHARING IS CARING

Question 1

Torricelli’s law

Hooke’s law

Archimedes’ principle

Pascal’s law

Solution

Question 2

Photoelectric effect

Flow of liquids

Magnetism​

Electrical cells

Solution

Question 3

2.84×105Pa

2.78×105Pa

2.66×105 Pa

2.60×105Pa

Solution

Question 4

4.095 Pa

405.9 Pa

4095 Pa

40.95 Pa

Solution

Question 5

Streamlined and rotational

Turbulent and rotational

Turbulent and irrotational

Streamlined and irrotational

Solution

Question 6

water wets the pipe

the pipes are not of uniform diameter

the viscosity of the water is high

of loss of pressure during the flow of water

Solution

Question 7

remains the same

depends on several factors

decreases

increases

Solution

Question 8

Both pressure and the velocity remains constant

velocity is maximum and pressure is minimum

both the pressure and velocity are maximum

both the pressure and velocity are minimum

Solution

Question 9

Incompressible and anisotropic

Incompressible and viscous

Compressible and anisotropic

Incompressible, isotropic and non viscous

Solution

Question 10

Momentum

Energy and momentum both

Mass

Energy

Solution

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Magnetism

2.84×10⁵Pa

2.78×10⁵Pa

2.66×10⁵Pa

2.60×10⁵Pa