Fluid Mechanics - Units And Dimensions - Quiz, Trivia & Questions

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| By Naren_pr

Naren_pr

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Quizzes Created: 1 | Total Attempts: 270

Questions: 15 | Attempts: 272 | Updated: Mar 17, 2023

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This is the quiz on Fluid Mechanics - Units and Dimensions and is as part of the Fluid Mechancis Course for B. Tech / M. Tech (Integ. ) Chemical Engineering degree programme, SASTRA University. The faculty instructor for the course is Dr. P. R. Naren

Questions and Answers

1.

What is the symbol used to indicate S. I. unit of "mass flow rate"?
- A.
  
  Kg / s
- B.
  
  G / s
- C.
  
  Kg / sec
- D.
  
  Kg / hr
Correct Answer
A. Kg / s

Explanation
The symbol used to indicate the SI unit of "mass flow rate" is kg / s, which stands for kilograms per second. This unit is commonly used to measure the amount of mass that passes through a given point in a system per unit of time.

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2.

"Kg" is the S. I. unit symbol for quantity "Mass"
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The S.I. unit symbol for quantity "Mass" is actually "kg" and not "Kg". The correct symbol for kilogram is lowercase "kg" as per the International System of Units (S.I.). Therefore, the given statement is false.

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3.

What is the dimension for "Pressure" in terms of "M", "L" and "T"
- A.
  
  M L / T^2
- B.
  
  M / ( L * T^2)
- C.
  
  M / ( L * T)
- D.
  
  M / (L^2 * T)
Correct Answer
B. M / ( L * T^2)

Explanation
The dimension for "Pressure" is given by the formula force/area. Force is measured in terms of mass (M) times acceleration (L/T^2), and area is measured in terms of length (L) squared. Therefore, the dimension for "Pressure" is M / (L * T^2).

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4.

The symbol for S. I. unit of time is "sec"
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
"s" is S I notation whereas sec is CGS notation
Check http://www.bipm.org/en/publications/si-brochure/section2-1.html#section2-1-2

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5.

Which of the following statement best defines 1 unit of Force in S. I. (i.e. 1 N) ?
- A.
  
  Force exerted on a body of unit mass when it is accelerating freely under the action of gravity
- B.
  
  Force exerted on a body of unit weight when it is accelerating freely under the action of gravity
- C.
  
  Force exerted on a body of unit mass when it undergoes unit acceleration
- D.
  
  Force exerted on a body of unit weight when it undergoes unit acceleration
Correct Answer
C. Force exerted on a body of unit mass when it undergoes unit acceleration

Explanation
The correct answer is "Force exerted on a body of unit mass when it undergoes unit acceleration." This definition aligns with Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In the SI system, the unit of force is the Newton (N), which is defined as the force required to accelerate a mass of 1 kilogram by 1 meter per second squared. Therefore, the force exerted on a body of unit mass (1 kilogram) when it undergoes unit acceleration (1 meter per second squared) is 1 Newton.

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6.

Specific gravity of Phenol is 1.07. Its density in g/cm^3 is

Correct Answer
1.07

Explanation
The specific gravity of a substance is the ratio of its density to the density of a reference substance, usually water. In this case, the specific gravity of phenol is given as 1.07. Since the density of water is 1 g/cm^3, the density of phenol can be assumed to be 1.07 g/cm^3. Therefore, the correct answer is 1.07.

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4
7.

250 lpm is equivalent to
- A.
  
  4.167 m^3/s
- B.
  
  4.167E-3 m^3/s
- C.
  
  4.167E3 m^3/s
- D.
  
  15 m^3/s
Correct Answer
B. 4.167E-3 m^3/s

Explanation
The given answer, 4.167E-3 m^3/s, is the correct conversion from 250 lpm to cubic meters per second (m^3/s). To convert from liters per minute (lpm) to cubic meters per second, we divide the given value by 1000 to convert liters to cubic meters and then divide by 60 to convert minutes to seconds. Therefore, 250 lpm is equal to 250/1000/60 = 4.167E-3 m^3/s.

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8.

1 atm is equivalent to
- A.
  
  76 mm Hg column
- B.
  
  76 cm Hg column
- C.
  
  760 mm Hg column
- D.
  
  760 cm Hg column
Correct Answer
C. 760 mm Hg column

Explanation
The correct answer is 760 mm Hg column because 1 atm is equivalent to the pressure exerted by a column of mercury that is 760 mm high. This is a commonly used unit of pressure in chemistry and physics.

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9.

The dimensions for volumetric flow rate is
- A.
  
  M / L ^ 3
- B.
  
  L^ 3 / T
- C.
  
  M^3 / T
- D.
  
  M^3 / L
Correct Answer
B. L^ 3 / T

Explanation
The correct answer is L^3 / T, which represents the dimensions for volumetric flow rate. This answer indicates that volumetric flow rate is measured in units of volume (cubic meters, for example) per unit of time (seconds, for example). The L^3 / T dimension is consistent with the concept of volumetric flow rate, which refers to the volume of fluid passing through a given area per unit of time.

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10.

Nominal value of Momentum diffusivity of water is
- A.
  
  1E-2 cSt
- B.
  
  1E-2 cP
- C.
  
  1E-2 kg / m s
- D.
  
  1E-2 Ps a
Correct Answer
A. 1E-2 cSt

Explanation
The correct answer is 1E-2 cSt. The momentum diffusivity of water is commonly measured in centistokes (cSt), which is a unit of kinematic viscosity. A kinematic viscosity of 1E-2 cSt indicates that water has a relatively low resistance to flow and is considered to be a low-viscosity fluid.

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11.

A fluid has density of 800 kg/m^3 and viscosity of 800 cP. It's dynamic viscosity is
- A.
  
  1E-3 m^2/s
- B.
  
  10 St
- C.
  
  0.8 Pa s
- D.
  
  None of the above
Correct Answer
C. 0.8 Pa s

Explanation
The dynamic viscosity of a fluid is a measure of its resistance to flow. It is calculated by dividing the fluid's absolute viscosity by its density. In this case, the fluid has a density of 800 kg/m^3 and a viscosity of 800 cP (centipoise). To convert the viscosity from cP to Pa s (Pascal second), we need to divide it by 1000. Therefore, the dynamic viscosity of the fluid is 0.8 Pa s.

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12.

Dimensions of Mass flux in terms of "M", "L" and "T" are
- A.
  
  M / T
- B.
  
  M / (L^2 T)
- C.
  
  M / (L^2)
- D.
  
  None of the above
Correct Answer
B. M / (L^2 T)

Explanation
The dimensions of mass flux represent the amount of mass passing through a unit area per unit time. The dimensions are typically expressed as mass divided by area and time, which is M / (L^2 T). This is the correct answer as it correctly represents the dimensions of mass flux in terms of "M" for mass, "L" for length, and "T" for time.

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1
0
13.

Kinematic viscosity and thermal diffusivity share the same dimension in terms of "M", "L" and "T"
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
Kinematic viscosity and thermal diffusivity both have the same dimensions of "M", "L", and "T". This means that they both have dimensions of mass, length, and time. Therefore, the statement is true.

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14.

M / (L T^2) is the dimension for
- A.
  
  Power
- B.
  
  Energy
- C.
  
  Shear rate
- D.
  
  Momentum Flux
Correct Answer
D. Momentum Flux

Explanation
The given expression M / (L T^2) represents the dimension for momentum flux. Momentum is defined as the product of mass and velocity, and flux refers to the rate of flow of a physical quantity. In this context, M represents mass, L represents length, and T represents time. Dividing mass by (length multiplied by time squared) gives us the dimension for momentum flux, which is a measure of the rate at which momentum is transferred per unit area. Therefore, the correct answer is momentum flux.

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Current Version
Mar 17, 2023

Quiz Edited by
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Dec 22, 2015

Quiz Created by
Naren_pr

Fluid Mechanics - Units And Dimensions

What is the symbol used to indicate S. I. unit of "mass flow rate"?

"Kg" is the S. I. unit symbol for quantity "Mass"

What is the dimension for "Pressure" in terms of "M", "L" and "T"

The symbol for S. I. unit of time is "sec"

Which of the following statement best defines 1 unit of Force in S. I. (i.e. 1 N) ?

Specific gravity of Phenol is 1.07. Its density in g/cm^3 is

250 lpm is equivalent to

1 atm is equivalent to

The dimensions for volumetric flow rate is

Nominal value of Momentum diffusivity of water is

A fluid has density of 800 kg/m^3 and viscosity of 800 cP. It's dynamic viscosity is

Dimensions of Mass flux in terms of "M", "L" and "T" are

Kinematic viscosity and thermal diffusivity share the same dimension in terms of "M", "L" and "T"

M / (L T^2) is the dimension for