Velocity MCQ

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• In matrix algebra, if a matrix is positive definite, then all its eigenvalues are greater than zero.
  ক

  True

  খ

  False
• For the vector form of the finite element model of momentum and continuity equations MΔ+K11Δ+K12P=0 what is the order of matrix F if the order of M is 2n x 2n?
  ক

  2n x 1

  খ

  1 x 2n

  গ

  m x 2n

  ঘ

  2n x m
• For the vector form of the finite element model of momentum and continuity equations MΔ+K11Δ+K12P=0, what is the correct expression for mass matrix M?
  ক

  M=∫ΩcρψTψdx

  খ

  M=∫ΩcfψTψdx

  গ

  M=∫ΩctψTψdx

  ঘ

  M=∫ΩcPψTψdx
• Which equation is the correct vector form of the finite element model of momentum and continuity equations in the flow domain?
  ক

  MΔ+K11Δ+K12P=0

  খ

  MΔ+K11Δ+K22P=F1

  গ

  MΔ+K22Δ+K12P=F1

  ঘ

  MΔ+K11Δ+K12P=F1
• Which option is not correct concerning the velocity variables, vx and vy in the weak form of the momentum and continuity equation?
  ক

  They are primary variables

  খ

  The minimum continuity requirement for interpolation is that they are linear in x and y

  গ

  The minimum continuity requirement for interpolation is that they are constant

  ঘ

  They are continuous across the inter-element boundary
• Which option is not correct concerning the pressure variable, P in the weak form of the momentum and continuity equation?
  ক

  P is a primary variable

  খ

  P is a part of the secondary variables

  গ

  P=constant is the minimum continuity requirement for interpolation

  ঘ

  It is discontinuous across inter-element boundaries
• For a governing equation, what does one conclude from the weak formulation if it does not contain boundary integral involving weight function?
  ক

  Integration by parts is used

  খ

  Integration by parts is not used

  গ

  The weight function is as a primary variable

  ঘ

  The weight function is to be made continuous across inter-element boundaries
• In the formulation of governing equations, which option does not signify the characteristics of a weight function?
  ক

  Weight functions are multiplied to governing equations to obtain weak forms

  খ

  Weight functions are interpreted from the physical setup of the problem

  গ

  Weight function must denote a non-dimensional quantity

  ঘ

  Weight function can be interpreted as a velocity
• In velocity-pressure formulation in FEM, which step is not used in the development of a weak form?
  ক

  Multiply governing equations with weight functions

  খ

  Integrating over the element domain

  গ

  Integrating by parts

  ঘ

  Performing coordinate transformation
• The distance s of a particle moving along a straight line from a fixed-pointO on the line at time t seconds after start is given by x = (t – 1)2(t – 2)2. What will be the distance of the particle from O when its velocity is zero?
  ক

  4/27 units

  খ

  4/23 units

  গ

  4/25 units

  ঘ

  4/35 units
• The distance x of a particle moving along a straight line from a fixed point on the line at time t after start is given by t = ax2 + bx + c (a, b, c are positive constants). If v be the velocity of the particle and u(≠0) be the initial velocity of the particle then which one is correct?
  ক

  1/v2 + 1/u2 = 4at

  খ

  1/v2 + 1/u2 = -4at

  গ

  1/v2 – 1/u2 = 4at

  ঘ

  1/v2 – 1/u2 = -4at
• A particle moves with uniform acceleration along a straight line and describes distances 21m, 43m and 91m at times 2, 4 and 7 seconds, respectively.What is the velocity of the particle in 3 seconds?
  ক

  11m/sec

  খ

  31 cm/sec

  গ

  21m/sec

  ঘ

  41m/sec
• A particle moves with uniform acceleration along a straight line and describes distances 21m, 43m and 91m at times 2, 4 and 7 seconds,respectively.What is the distance described by the particle in 3 seconds?
  ক

  30 cm

  খ

  31 cm

  গ

  32 cm

  ঘ

  33 cm
• A particle moving in a straight line traverses a distance x in time t. If t = x2/2 + x, then which one is correct?
  ক

  The retardation of the particle is the cube of its velocity

  খ

  The acceleration of the particle is the cube of its velocity

  গ

  The retardation of the particle is the square of its velocity

  ঘ

  The acceleration of the particle is the square of its velocity
• A particle moves in a straight line and its velocity v at time t seconds is given byv = 3t2 – 4t + 5 cm/second. What will be the distance travelled by the particle during first 3 seconds after the start?
  ক

  21 cm

  খ

  22 cm

  গ

  23 cm

  ঘ

  24 cm
• A particle moves in a straight-line OA; the distance of the particle from O at time t seconds is x ft, where x = a + bt + ct2 (a, b > 0). What will be the nature of motion of the particle when c = 0?
  ক

  Uniform retardation

  খ

  Uniform speed

  গ

  Uniform acceleration

  ঘ

  Uniform velocity
• A particle moves in a straight-line OA; the distance of the particle from O at time t seconds is x ft, where x = a + bt + ct2 (a, b > 0). What is the meaning of the constant b?
  ক

  Final velocity

  খ

  Initial velocity

  গ

  Mid velocity

  ঘ

  Arbitrary velocity
• A particle moves in a straight-line OA; the distance of the particle from O at time t seconds is x ft, where x = a + bt + ct2 (a, b > 0). What is the meaning of the constant a?
  ক

  Initial position

  খ

  Final position

  গ

  Mid position

  ঘ

  Any arbitrary position
• “It is impossible for a particle to move in a straight line so that its velocity varies at the distance from the commencement of motion”. Which one is correct for the given statement?
  ক

  The above statement is valid

  খ

  The above statement is not valid

  গ

  Data inadequate

  ঘ

  Answer does not exist
• A particle is moving along the straight line OX and its distance x is in metres from O after t seconds from start is given by x = t3 – t2 – 5t. What will be the distance traversed before it comes to rest?
  ক

  -173/27

  খ

  173/27

  গ

  -175/27

  ঘ

  175/27
• A particle is moving in a straight line is at a distance x from a fixed point in the straight line at time t seconds, where x = 2t3 – 12t + 11. What is the displacement of the particle at the end of 2 seconds?
  ক

  1 cm

  খ

  2 cm

  গ

  3 cm

  ঘ

  4 cm
• A particle is moving in a straight line is at a distance x from a fixed point in the straight line at time t seconds, where x = 2t3 – 12t + 11. What is the velocity of the particle at the end of 2 seconds?
  ক

  10 cm/sec

  খ

  12 cm/sec

  গ

  14 cm/sec

  ঘ

  16 cm/sec
• A particle is moving in a straight line and its distance s cm from a fixed point in the line after t seconds is given by s = 12t – 15t2 + 4t3. What will be the distance between the two positions of the particle at two times, when the velocity is instantaneously 0?
  ক

  27/4 cm

  খ

  29/4 cm

  গ

  27/2 cm

  ঘ

  29/2 cm
• A particle is moving in a straight line and its distance s cm from a fixed point in the line after t seconds is given by s = 12t – 15t2 + 4t3. What is the velocity of the particle after 3 seconds?
  ক

  10 cm/sec

  খ

  20 cm/sec

  গ

  30 cm/sec

  ঘ

  40 cm/sec