Continuity Equation MCQ

Test your knowledge with important Continuity Equation MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Continuity Equation MCQs on Bissoy. Bissoy App

• If the system is in steady state, it is in an equilibrium state.
  ক

  True

  খ

  False
• Mass can neither be created nor be destroyed is the principle of_______
  ক

  Energy equation

  খ

  Momentum equation

  গ

  Continuity equation

  ঘ

  Bernoulli’s principle
• When Reynold’s number limits to infinity, inviscid flow is approached.
  ক

  True

  খ

  False
• The equation which results in the change in pressure with change in the vertical height is called as __________
  ক

  energy equation

  খ

  momentum equation

  গ

  continuity equation

  ঘ

  hydrostatic equation
• The differential form of continuity equation is __________
  ক

  ∇.u=constant

  খ

  Dv/Dt=0

  গ

  ρ/t + ∇.(ρV)=0

  ঘ

  ρ=0
• Which of the flowing is an example of incompressible flow?
  ক

  gas

  খ

  sponge

  গ

  water

  ঘ

  gel
• For an incompressible flow, the mass continuity equation changes to ________
  ক

  energy equation

  খ

  momentum equation

  গ

  volume continuity equation

  ঘ

  remains same
• In electromagnetic theory, continuity equation relates _______
  ক

  Volume conservation

  খ

  Mass conservation

  গ

  Charge conservation

  ঘ

  Energy conservation
• The quantity specifying the flow or motion is termed as _________
  ক

  Density

  খ

  Flux

  গ

  Field

  ঘ

  Electrostatic force
• Continuity equation is related to _______
  ক

  Mass conservation

  খ

  Energy conservation

  গ

  Momentum conservation

  ঘ

  Velocity change
• According to the conservation law, “Net mass flow across the fluid element is equal to the rate of change of mass inside the element”. But, stating the final equation, “Net mass flow across the fluid element + the rate of change of mass inside the element = 0”. Why is the operation not subtraction?
  ক

  Irrespective of the law, the sum is always zero

  খ

  The two terms are always opposite in sign

  গ

  Change in sign is not considered

  ঘ

  Rate of change may be increase or decrease
• What is the physical statement of mass conservation equation for a finite control volume moving along with the flow?
  ক

  Rate of change of mass inside the control volume = 0

  খ

  Rate of change of mass inside the control volume = constant

  গ

  Net mass flow through the control surface = Rate of change of mass inside the control volume

  ঘ

  Net mass flow through the control surface≠Rate of change of mass inside the control volume
• What is the physical statement of mass conservation equation for a finite control volume fixed in space?
  ক

  Net mass flow through the control surface = constant

  খ

  Rate of change of mass inside the control volume = constant

  গ

  Net mass flow through the control surface = Rate of change of mass inside the control volume

  ঘ

  Net mass flow through the control surface≠Rate of change of mass inside the control volume
• To convert the non-conservative integral equation of mass conservation into the conservative integral form, which of these theorems is used?
  ক

  Stokes theorem

  খ

  Kelvin-Stokes theorem

  গ

  Gauss-Siedel theorem

  ঘ

  Gauss Divergence Theorem
• Consider a model of finite control volume (volume V and surface are
  ক

  fixed in space with elemental volume dV, vector elemental surface area d\(\vec{S}\), density ρ and flow velocity \(\vec{V}\). What is the mass inside the control volume? ] \(\iint_s\rho \vec{V}.d\vec{S}\)

  খ

  \(\iiint_V\rho dV\)

  গ

  ρdV

  ঘ

  \(\frac{\partial}{\partial t} \iiint_V\rho dV\)
• The physical principle behind the continuity equation is __________
  ক

  Mass conservation

  খ

  Zeroth law of thermodynamics

  গ

  First law of thermodynamics

  ঘ

  Energy conservation
• In a water supply system, water flows in from pipes 1 and 2 and goes out from pipes 3 and 4 as shown. If all the pipes have the same diameter, which of the following must be correct?
  ক

  the sum of the flow velocities in 1 and 2 is equal to that in 3 and 4

  খ

  the sum of the flow velocities in 1 and 3 is equal to that in 2 and 4

  গ

  the sum of the flow velocities in 1 and 4 is equal to that in 2 and 3

  ঘ

  the flow velocities in 1 and 2 is equal to that in 3 and 4
• In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ay2 + bxy and v = ax2 + bxy. The flow will be continuous if
  ক

  a + b = 0

  খ

  a – b = 0

  গ

  x + y = 0

  ঘ

  x – y = 0
• In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax + by and v = ax – by. For what condition will the flow field be continuous?
  ক

  impossible

  খ

  possible if a = b

  গ

  possible if a = 2b

  ঘ

  possible for all values of a and b
• In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy and v = bxy + ay2. The condition for the flow field to be continuous is
  ক

  independent of the constants (a;

  খ

  but dependent on the variables (x; y) [ independent of the variables (x; y) but dependent on the constants (a; [

  গ

  independent of both the constants (a; b) and the variables (x; y)

  ঘ

  dependent on both the constants (a; b) and the variables (x; y)
• In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy and v = cxy +dy2. What should be the condition for the flow field to be continuous?
  ক

  (a +

  খ

  x + (c + d)y = 0 [ (a +
• In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = axy and v = bx2 + cy2. What should be the condition for the flow field to be continuous?
  ক

  a + b = 0

  খ

  a + c = 0

  গ

  a + 2b = 0

  ঘ

  a + 2c = 0
• In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy + cy2 and v = cxy. What should be the condition for the flow field to be continuous?
  ক

  a + c = 0

  খ

  b + c = 0

  গ

  2a + c = 0

  ঘ

  2b + c = 0
• In a two dimensional flow, the component of the velocity along the X-axis is u = ax2 + bxy + cy2. If v = 0 at y = 0, what will be the velocity component in the Y-direction?
  ক

  v = 2axy + by2

  খ

  v = 2axy + b ⁄ 2 y2

  গ

  v = -2axy – b ⁄ 2 y2

  ঘ

  v = -axy – b ⁄ 2 y2
• Two pipes, each of diameter d, converge to form a pipe of diameter D. What should be the relation between d and D such that the ow velocity in the third pipe becomes half of that in each of the two pipes?
  ক

  D = d/2

  খ

  D = d/3

  গ

  D = d/4

  ঘ

  D = d/5
• Two pipes, each of diameter d, converge to form a pipe of diameter D. What should be the relation between d and D such that the flow velocity in the third pipe becomes double of that in each of the two pipes?
  ক

  D = d

  খ

  D = 2d

  গ

  D = 3d

  ঘ

  D = 4d
• Two pipes of diameters d1 and d2 converge to form a pipe of diameter 2d. If the liquid flows with a velocity of v1 and v2 in the two pipes, what will be the flow velocity in the third pipe?
  ক

  v1 + v2

  খ

  v1 + v2/2

  গ

  v1 + v2/4

  ঘ

  2(v1 + v2)
• Two pipes of diameters d1 and d2 converge to form a pipe of diameter d. If the liquid flows with a velocity of v1 and v2 in the two pipes, what will be the flow velocity in the third pipe?
  ক

  \(\frac{d_1v_1+d_2v_2}{d}\)

  খ

  \(\frac{d^2(v_1+v_2)}{d}\)

  গ

  \(\frac{(d_1+d_2)^2(v_1+v_2)}{d^2}\)

  ঘ

  \(\frac{d_1^2 v_1 + d_2^2 v_2}{d^2}\)
• The continuity equation is based on the principle of
  ক

  conservation of mass

  খ

  conservation of momentum

  গ

  conservation of energy

  ঘ

  conservation of force
• If a liquid enters a pipe of diameter d with a velocity v, what will it’s velocity at the exit if the diameter reduces to 0.5d?
  ক

  v

  খ

  0.5v

  গ

  2v

  ঘ

  4v