1. What does the continuity equation in fluid mechanics
describe?
a) Conservation of
energy
b) Conservation of
mass
c) Conservation of
momentum
d) Conservation of
volume
Correct answer: b) Conservation of mass
2. The continuity equation relates fluid velocity and
density to what property of the fluid?
a) Pressure
b) Viscosity
c) Flow rate
d) Temperature
Correct answer: c) Flow rate
3. In a steady-state flow, the rate of change of density
with time in the continuity equation is:
a) Zero
b) Infinite
c) Constant
d) Undefined
Correct answer: a) Zero
4. The continuity equation can be applied to which of the
following scenarios?
a) Gas diffusion in
a vacuum
b) Water flow in a
closed pipe
c) Particle motion
in a magnetic field
d) Electric current
in a conductor
Correct answer: b) Water flow in a closed pipe
5. If the divergence of the mass flux density vector is
zero, what type of flow does the fluid exhibit?
a) Turbulent flow
b) Incompressible
flow
c) Viscous flow
d) Laminar flow
Correct answer: b) Incompressible flow
6. The continuity equation in fluid mechanics is based on
the principle of:
a) Energy
conservation
b) Momentum
conservation
c) Mass
conservation
d) Heat transfer
Correct answer: c) Mass conservation
7. The continuity equation is extensively used in which
engineering discipline?
a) Electrical
engineering
b) Civil
engineering
c) Computer
engineering
d) Chemical
engineering
Correct answer: b) Civil engineering
8. What does the continuity equation imply if the density of
the fluid changes with time at a specific point?
a) Steady-state
flow
b) Laminar flow
c) Compressible
flow
d) Presence of a
mass source or sink
Correct answer: d) Presence of a mass source or sink
9. Which operator measures the rate of expansion or
contraction of a fluid flow in the continuity equation?
a) Gradient
operator
b) Laplacian
operator
c) Divergence
operator
d) Curl operator
Correct answer: c) Divergence operator
10. The continuity equation finds applications in
predicting:
a) Astronomical
phenomena
b) Weather
patterns
c) Quantum
mechanics behavior
d) Economic trends
Correct answer: b) Weather patterns
11. In a closed system, what must be true according to the
principle of continuity?
a) Mass can be
created or destroyed.
b) Mass must
increase with time.
c) Mass entering
equals mass leaving.
d) Mass must
decrease with time.
Correct answer: c) Mass entering equals mass leaving.
12. What does the divergence of the mass flux density vector
represent in the continuity equation?
a) Local density
variation
b) Mass source
term
c) Flow rate
variation
d) Fluid viscosity
Correct answer: c) Flow rate variation
13. In aerospace engineering, the continuity equation is
crucial for:
a) Calculating
gravitational forces
b) Analyzing
material properties
c) Designing
efficient wings and airfoils
d) Measuring
electrical conductivity
Correct answer: c) Designing efficient wings and airfoils
14. The continuity equation is applicable to which type of
fluids?
a) Ideal gases
only
b) Incompressible
fluids only
c) Both
compressible and incompressible fluids
d) Solids
Correct answer: c) Both compressible and incompressible
fluids
15. Which field extensively uses the continuity equation to
model blood flow in vessels?
a) Cardiology
b) Dermatology
c) Oncology
d) Radiology
Correct answer: a) Cardiology
16. The continuity equation serves as a powerful tool to
understand and analyze the behavior of which of the following?
a) Subatomic
particles
b) Fluids in
motion
c) Solid
structures
d) Sound waves
Correct answer: b) Fluids in motion
17. The continuity equation plays a crucial role in
designing and optimizing which engineering projects?
a) Software
applications
b) Electrical
circuits
c) Civil
Infrastructure
d) Chemical
reactions
Correct answer: c) Civil Infrastructure
18. What does the continuity equation describe in fluid
mechanics?
a) The
acceleration of fluids
b) The behavior of
fluids at rest
c) The
conservation of mass within a fluid flow
d) The conversion
of mass into energy
Correct answer: c) The conservation of mass within a fluid
flow
