DIMENSIONAL ANALYSIS MULTIPLE CHOICE QUESTIONS (MCQ) WITH ANSWERS
DIMENSIONAL ANALYSIS
MULTIPLE CHOICE QUESTIONS
(MCQ) WITH ANSWERS
Dimensional analysis studies the relation
between different physical quantities.
These quantities are mass, length, time, electric current,
luminous intensity and amount of substance.
Dimensional analysis analyze formulas and equations
using the relationship between fundamental and
derived quantities. Dimensional analysis is a method
in which equate the dimensions on both sides of an
equation. Achieve it either by factor
level method or unitary method.
Sr. No. 
Fundamental quantity 
Dimension 
Units 
1. 
Mass 
M 
kilogram 
2. 
Length 
L 
meter 
3. 
Time 
T 
second 
4. 
Temperature 
K 
Kelvin 
5. 
Electric current 
A 
Ampere 
6. 
Luminous intensity 
cd 
candela 
7. 
Amount of substance 
mol 
mole 
1. Dimensional analysis is a method of organizing all the

Variables in a process

Constants in a process

Variables & constants in a process

None
ANS: (a)

Dimensional analysis organize all the variables into

Dimensions

Dimensionless groups

Dimensions & dimensionless groups

None
ANS: (b)

Dimensional analysis develop relations from the experimental data are

Analytical

Empirical

Analytical & empirical

None
ANS: (b)

Dimensional analysis is applicable to

Fluid mechanics

Heat transfer

Fluid mechanics & heat transfer

None
ANS: (c )

Dimensions of the velocity are

m/s

L/T

m/s & L/T

None
ANS: (b)

Units of velocity are

m/s

L/T

m/s & L/T

None
ANS: (a)

Fundamental qualities are

M & L

L & T

M, L & T

None
ANS: (c )

Dimensions of force are

M^{1}LT^{1}

MLT^{2}

MLT^{1}

None
ANS: (b)

Dimensional homogeneity helps to determine the

Units of a physical quantity

Dimensions of a physical quantity

Units & dimensions of a physical quantity

None
ANS: (c)

Rayleigh’s method of dimensional analysis is cumbersome with

Small number of physical variables

Large number of physical variables

Small & large number of physical variables

None
ANS: (b)

Buckingham’s method of dimensional analysis is cumbersome with

Small number of physical variables

Large number of physical variables

Small & large number of physical variables

None
ANS: (d)

Repeating variables are present in

Rayleigh’s method

Buckingham’s method

Rayleigh’s & Buckingham’s methods

None
ANS: (b)

First preferred repeating variable is

Flow property

Fluid property

Geometric property

None
ANS: (c )

Second preferred repeating variable is

Flow property

Fluid property

Geometric property

None
ANS: (a )

Third preferred repeating variable is

Flow property

Fluid property

Geometric property

None
ANS: (b )

The size of a model in dimensional analysis is

> the prototype

< the prototype

= the prototype

None
ANS: (b)
17. Similitude in dimensional analysis predicts
a. Prototype conditions from the model observations
b. Model conditions from the prototype observations
c. Can’t say
9. None
ANS: (a)

Complete similarity between model and prototype requires

Geometric and kinematic similarity

Thermal and dynamic similarity

Geometric, kinematic, thermal & dynamic similarity

None
ANS: (c )

Model investigation in dimensional analysis

Reduces the time and cost

Increases the time & cost

Can’t say

None
ANS: (a)

Dimensional analysis converts large number of variables into

Larger number of dimensionless groups

Smaller number of dimensionless groups

Larger & smaller number of dimensionless groups

None
ANS: (b)
21. Dimensional formula of viscosity is
(a) MLT
(b) ML^{1} T
(c) ML^{1}T^{1}
(d) None
ANS: (c)
22. A model has the same shape as a prototype falls under
(a) Dynamic similarity
(b) Geometric similarity
(c) kinematic similarity
(d) None
ANS: (b)
23. The model and a prototype have the same forces under
(a) geometric similarity
(b) Kinematic similarity
(c) Dynamic similarity
(d) None
ANS: (c)
24. Reynold’s number is the ratio of
(a) Inertia force/Viscous force
(b) Viscous force/Inertia force
(c) Viscous force x Inertia force
(d) None
ANS: (a)
25. M^{0}L^{0}T^{0} is the dimensional formula of
(a) Stress
(b) Strain
(c) Resilience
(d) none
ANS: (b)
26. Which is the dimensionless quantity?
(a) Stress
(b) Strain
(c) Modulus
(d) None
ANS: (b)
27. Select which quantity has the same dimensions as work.
(a) Power
(b) Energy
(c) Power and energy
(d) None
ANS: (b)
28. Choose the fundamental quantity among the followings:
(a) Density
(b) volume
(c) velocity
(d) None
ANS: (d)
29. Choose the dimensionless quantity.
(a) mass
(b) Length
(c) Angle
(d) None
ANS: (c)
30. The analytical procedure to obtain dimensionless groups from physical variables is
(a) Dimensional homogeneity
(b) Dimensional accuracy
(c) Dimensional geometric similarity
(d) None
ANS: (d)
31. The analytical procedure to obtain dimensionless groups from physical variables is
(a) Dimensional homogeneity
(b) Dimensional analysis
(c) Dimensional dynamics
(d) None
ANS: (b)
32. Select the dimensions of work.
(a) M^{2}L^{2}T^{2}
(b) ML^{2}T^{2}
(c) ML^{2}T^{2}
(d) None
ANS: (c )
33. Name the dimensionless number which is the ratio of inertia force to compressibility force.
(a) Reynolds Number
(b) Mach Number
(c) Prandtl Number
(d) None
ANS: (b)
34. Mach number is important in
(a) Flow through a capillary tube
(b) flow through pipes
(c) Flow of air across planes
(d) None
ANS: (c)
35. Dimensions M0L0T0 stands for
(a) Young’s Modulus
(b) Stress
(c) Strain
(d) None
ANS: (c)
36. Which of the following quantities have the
same dimensional formula as work done
(a) Energy
(b) power
(c) Both (a) & (b)
(d) None
ANS: (a)
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