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MCQOPTIONS
This section includes 125 Mcqs, each offering curated multiple-choice questions to sharpen your BITSAT knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
In a two-dimensional steady flow field, in a certain region of the x-y plane, the velocity component in the x-direction is given by \({v_x} = {x^2}\)and the density varies as \(\rho = \frac{1}{x}\) Which of the following is a valid expression for the velocity component in the y-direction, vy? |
| A. | \({v_y} = - x/y\) |
| B. | \({v_y} = x/y\) |
| C. | \({v_y} = - xy\) |
| D. | \({v_y} = xy\) |
| Answer» D. \({v_y} = xy\) | |
| 52. |
For a forced vortex flow in an open tank, which of the following statements is correct? |
| A. | Fall of liquid level at the centre = 0.5 × rise of liquid level at the ends |
| B. | Fall of liquid level at the centre = 0.95 × rise of liquid level at the ends |
| C. | Fall of liquid level at the centre = 0.98 × rise of liquid level at the ends |
| D. | Fall of liquid level at the centre = rise of liquid level at the ends |
| Answer» E. | |
| 53. |
For a two dimensional potential flow, the velocity potential is given by : ϕ = 4x(3y - 4) The numerical value of stream function at the point (2, 3) is |
| A. | 10 Units |
| B. | 20 Units |
| C. | 18 Units |
| D. | 16 Units |
| Answer» D. 16 Units | |
| 54. |
In a two-dimensional incompressible steady flow, the velocity component u = Aex is obtained. What is the order component v of velocity? |
| A. | v = Aexy |
| B. | v = Aey |
| C. | v = -Aexy + f(x) |
| D. | v = -Aeyx + f(y) |
| Answer» D. v = -Aeyx + f(y) | |
| 55. |
A stream function is given by ψ = 4x – 3y. The resultant velocity at any point is |
| A. | 7.81 units/s |
| B. | 7 units/s |
| C. | 3.5 units/s |
| D. | 5 units/s |
| Answer» E. | |
| 56. |
Consider the following remarks pertaining to the irrotational flow:1. The Laplace equation of stream function \(\frac{{{\delta ^2}{\rm{\Psi }}}}{{\delta {x^2}}} + \frac{{{\delta ^2}{\rm{\Psi }}}}{{\delta {y^2}}} = 0\) must be satisfied for the flow to be potential.2. The Laplace equation for the velocitypotential \(\frac{{{\delta ^2}{\rm{\varphi }}}}{{\delta {x^2}}} + \frac{{{\delta ^2}{\rm{\varphi }}}}{{\delta {y^2}}} = 0\) must be satisfied to fulfil the orate . of mass conservation i.e continuity equation..Which of the above statements is/are correct? |
| A. | 1 only |
| B. | Both 1 and 2 |
| C. | 2 only |
| D. | Neither 1 or 2 |
| Answer» C. 2 only | |
| 57. |
If in a flow field \(\frac{P}{\gamma} + \frac{v^2}{2g} + z \) = constant between any two points, flow must be |
| A. | Steady, compressible and irrotational |
| B. | Unsteady, incompressible and irrotational |
| C. | Steady, incompressible and irrotational |
| D. | Steady, compressible and along a steam line |
| Answer» D. Steady, compressible and along a steam line | |
| 58. |
Consider a velocity field \({\rm{\vec V}} = {\rm{K}}\left( {{\rm{y\hat i}} + {\rm{x\hat k}}} \right)\), where K is a constant. The vorticity, ΩZ, is |
| A. | - K |
| B. | K |
| C. | - K /2 |
| D. | K /2 |
| Answer» B. K | |
| 59. |
A curve that is everywhere tangent to the instantaneous local velocity vector, is |
| A. | Streak line |
| B. | Path line |
| C. | Normal line |
| D. | Stream line |
| Answer» E. | |
| 60. |
A vertical circular cylinder is filled with water and then rotated about its vertical axis at a constant speed such that half the liquid spills out from the open top. At that instant, the pressure at the centre of the bottom should be |
| A. | atmospheric pressure |
| B. | sub-atmospheric pressure |
| C. | one fourth of original value |
| D. | more than atmospheric pressure |
| Answer» B. sub-atmospheric pressure | |
| 61. |
A 2-D flow field is defined as \(\vec V = \vec ix - \vec jy\). The equation of the streamline passing through the point (1, 1) is |
| A. | xy -1 = 0 |
| B. | xy + 1 = 0 |
| C. | xy + 2 = 0 |
| D. | xy - 2 = 0 |
| Answer» B. xy + 1 = 0 | |
| 62. |
______________ is an imaginary line drawn through a flowing fluid in such a way that the tangent to it at any point gives the direction of the velocity of flow at that point. |
| A. | Vortex line |
| B. | Stream line |
| C. | Streak line |
| D. | Path line |
| Answer» C. Streak line | |
| 63. |
For a steady flow, the values of all fluid properties at any fixed point |
| A. | change with location |
| B. | do not change with time |
| C. | do not change with location |
| D. | change with time |
| Answer» C. do not change with location | |
| 64. |
A grid obtained by drawing a series of equipotential lines and stream lines is called _______. |
| A. | equipotential net / |
| B. | stream net |
| C. | flow net |
| D. | viscosity potential function |
| Answer» D. viscosity potential function | |
| 65. |
A continuity equation for two dimensional compressible flow is given by: |
| A. | \(\frac{{\partial u}}{{\partial x}}\; + \;\frac{{\partial v}}{{\partial x}}\left( {\rho uv} \right)\; = 0\) |
| B. | \(u\frac{{\partial u}}{{\partial x}}\; + v\frac{{\partial v}}{{\partial x}}\; = 0 \) |
| C. | \(\frac{{\partial \left( {\rho u} \right)}}{{\partial x}}\; + \;\frac{{\partial \left( {\rho v} \right)}}{{\partial y}} = 0\) |
| D. | \(\frac{{\partial u}}{{\partial x}}\; + \;\frac{{\partial v}}{{\partial x}}\; = 0 \) |
| Answer» D. \(\frac{{\partial u}}{{\partial x}}\; + \;\frac{{\partial v}}{{\partial x}}\; = 0 \) | |
| 66. |
A current meter is a device used for measuring |
| A. | velocity |
| B. | viscosity |
| C. | current |
| D. | pressure |
| Answer» B. viscosity | |
| 67. |
Δψ between two streamlines represents___ (where ψ is a stream function) |
| A. | velocity |
| B. | discharge |
| C. | head |
| D. | pressure |
| Answer» C. head | |
| 68. |
If the velocity of fluid does NOT change with respect to time, the flow is said to be: |
| A. | non uniform flow |
| B. | interflow |
| C. | steady flow |
| D. | cross flow |
| Answer» D. cross flow | |
| 69. |
If the velocity potential function ϕ =5 (x2 – y2), the velocity components at the points (4, 5) will be |
| A. | u = -35, v = 40 |
| B. | u = -40, v = 55 |
| C. | u = -40, v = 50 |
| D. | u = 40, v = -50 |
| Answer» D. u = 40, v = -50 | |
| 70. |
A cylindrical vessel with closed bottom and open top is 0.9 m in diameter. What is the rotational speed about its vertical axis (with closed bottom below and open top above) when the contained incompressible fluid will rise 0.5 m at the inner circumference of the vessel and a space of 0.4 m diameter have no fluid thereon? Take g = 10 m/s2 |
| A. | 650 rpm |
| B. | 600 rpm |
| C. | 580 rpm |
| D. | 96 rpm |
| Answer» E. | |
| 71. |
A steady incompressible flow field is given by u = 2x2 + y2 and v = -4xy. The convective acceleration, along x - direction at point (1, 2) is |
| A. | 6 units |
| B. | 24 units |
| C. | -8 units |
| D. | -24 units |
| Answer» D. -24 units | |
| 72. |
If an incompressible fluid enters a pipe with a velocity of 4 cm/s and moves out with a velocity of 2 cm/s, calculate the cross sectional area of the inlet if the diameter of the pipe at the outlet is 7 cm. |
| A. | 154 sq.cm. |
| B. | 20 sq.cm. |
| C. | 14 sq.cm. |
| D. | 7 sq.cm. |
| Answer» C. 14 sq.cm. | |
| 73. |
A one dimensional flow is one which _______ |
| A. | Is uniform |
| B. | Is steady uniform |
| C. | Takes place in straight lines |
| D. | Involves zero transverse components of flow |
| Answer» E. | |
| 74. |
If 60000 cum of water flows per min through a pipe of diameter 3 m and if this pipe reduces to a 1.5 m diameter, what is the ratio of the velocities in these pipes? |
| A. | 0.25 |
| B. | 0.3 |
| C. | 0.03 |
| D. | 0.05 |
| E. | 0.02 |
| Answer» B. 0.3 | |
| 75. |
Ψ = 3x2 – y3 represents a stream function in a two – dimensional flow. The velocity component in ‘x’ direction at the point (1, 3) is: |
| A. | – 24 m/s |
| B. | 4 m/s |
| C. | 27 m/s |
| D. | 31.5 m/s |
| Answer» D. 31.5 m/s | |
| 76. |
A fluid flowing through a pipe of diameter 450 mm with velocity 3 m/s is divided into two pipes of diameters 300 mm and 200 mm. The velocity of flow in 300 mm diameter pipe is 2.5 m/s, then the velocity of flow through 200 mm diameter pipe will be |
| A. | 2.5 m/s |
| B. | 5.55 m/s |
| C. | 7.25 m/s |
| D. | 9.56 m/s |
| Answer» E. | |
| 77. |
In a free vortex, the flow is: |
| A. | rotational |
| B. | irrotational |
| C. | rotational or irrotational |
| D. | neither rotational or irrotational |
| Answer» C. rotational or irrotational | |
| 78. |
A constant discharge passing through a conical pipe is an example of |
| A. | steady uniform flow |
| B. | steady non-uniform flow |
| C. | unsteady uniform flow |
| D. | unsteady non-uniform flow |
| Answer» C. unsteady uniform flow | |
| 79. |
A duct of rectangular cross-section 600 mm × 400 mm carries 90 m3/min of air having density of 1.2 kg/m3. When the quantity of air in both cases is same, the equivalent diameter of a circular duct will be nearly |
| A. | 0.86 m |
| B. | 0.76 m |
| C. | 0.64 m |
| D. | 0.54 m |
| Answer» E. | |
| 80. |
A flow whose stream line is represented by a curve, is called _______. |
| A. | One - dimensional flow |
| B. | Three dimensional flow |
| C. | Two - dimensional flow |
| D. | Four - dimensional flow |
| Answer» D. Four - dimensional flow | |
| 81. |
If the velocity, pressure, density, etc., change at a point with respect to time, the flow is called |
| A. | uniform |
| B. | compressible |
| C. | unsteady |
| D. | incompressible |
| Answer» D. incompressible | |
| 82. |
A path line: |
| A. | cannot be defined for fluid flows |
| B. | indicates fluid velocity |
| C. | indicates path taken by a fluid element |
| D. | indicates local fluid direction |
| Answer» D. indicates local fluid direction | |
| 83. |
In a Lagrangian system, the position of a fluid particle in a flow is described as |
| A. | unsteady and one-dimensional |
| B. | steady and two-dimensional |
| C. | steady and one-dimensional |
| D. | unsteady and two-dimensional |
| Answer» C. steady and one-dimensional | |
| 84. |
A velocity field is given as \(\vec V = \;Axy\hat i - \;Byzt\hat j\;\)where A and B are constants. x, y, z are in metre and t is in seconds. Which of the following is true of this flow field? |
| A. | Steady and 3 - dimensional |
| B. | Unsteady and 2 – dimensional |
| C. | Steady and 2 – dimensional |
| D. | Unsteady and 3 – dimensional |
| Answer» E. | |
| 85. |
If fluid properties in a flow are constant with space at any instant of time, the flow is termed as: |
| A. | uniform |
| B. | non - uniform |
| C. | steady |
| D. | unsteady |
| Answer» B. non - uniform | |
| 86. |
In the case of a steady uniform flow of a fluid, the acceleration is: |
| A. | zero |
| B. | 1 |
| C. | any value greater than 1 |
| D. | Infinity |
| Answer» B. 1 | |
| 87. |
In virtual work equation some forces are neglected. Select the most appropriate answer from the following: |
| A. | Reaction of a rough surface on a body which rolls on it without slipping. |
| B. | Reaction of any smooth surface with which the body is in contact. |
| C. | Reaction at a point or on an axis, fixed in space, around which a body is constrained to turn. |
| D. | All of the above |
| Answer» E. | |
| 88. |
For an incompressible flow field, \(\vec V\) , which one of the following conditions must be satisfied? |
| A. | \(\nabla \cdot \vec V = 0\) |
| B. | \(\nabla \times \vec V = 0\) |
| C. | \(\left( {\vec V \cdot \nabla } \right)\vec V = 0\) |
| D. | \(\frac{{\partial \vec V}}{{\partial t}} + \left( {\vec V \cdot \nabla } \right)\vec V = 0\) |
| Answer» B. \(\nabla \times \vec V = 0\) | |
| 89. |
In a flow field, the streamlines and equipotential lines |
| A. | are parallel |
| B. | cut at any angle |
| C. | are orthogonal everywhere in the flow field |
| D. | cut orthogonally except at the stagnation points |
| Answer» E. | |
| 90. |
A fluid flow field is given by \(U = 2xyi + yzj - \left( {2yz + \frac{{{z^2}}}{2}} \right)k.\)1. The flow is viscous.2. The flow is steady3. The flow is incompressible.4. The magnitude of the total velocity vector at a point (1, 4, 3) is nearest to 27 units.Which of the above statements are correct? |
| A. | 1 and 3 only |
| B. | 1 and 4 only |
| C. | 2 and 3 only |
| D. | 2 and 4 only |
| Answer» D. 2 and 4 only | |
| 91. |
A static fluid can have |
| A. | Positive normal stress and zero shear stress |
| B. | Zero normal stress and non-zero shear stress |
| C. | Non-zero normal stress and non-zero shear stress |
| D. | Positive normal stress and non-zero shear stress |
| Answer» B. Zero normal stress and non-zero shear stress | |
| 92. |
Both free vortex and forced vortex can be expressed mathematically in terms of tangential velocity V at the corresponding radius r. Choose the correct combination Free vortexForced vortex1V = r × constVr = const2V2 × r = constV = r × const3V × r = const.V2 = r × const4V × r = const.V = r × const |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» E. | |
| 93. |
If the total acceleration of fluid flow is always zero, then it is: |
| A. | unsteady and uniform flow |
| B. | steady and uniform flow |
| C. | steady but non-uniform flow |
| D. | unsteady and non-uniform flow |
| Answer» C. steady but non-uniform flow | |
| 94. |
A flow net is a graphical representation of streamlines and equipotential lines such that these lines |
| A. | Intersect each other at various different angles forming irregular shaped nets |
| B. | Intersect each other orthogonally forming curvilinear squares |
| C. | Indicate the direction but not magnitude of vector |
| D. | Indicate the direction and magnitude of vector |
| Answer» C. Indicate the direction but not magnitude of vector | |
| 95. |
A liquid of density 1200 kg/m3 is flowing steadily through a tube of varying cross section as shown below. The cross section at point A is 1 cm2 and at B is 20 mm2. The points A and B are in the same horizontal plane. The speed of liquid at point A is 10 cm/sec. The difference of pressure at A and B is |
| A. | 100 Pa |
| B. | 170 Pa |
| C. | 144 Pa |
| D. | 180 Pa |
| Answer» D. 180 Pa | |
| 96. |
A 2-D flow field is defined as\(\vec V = \hat ix - \hat jy\)The equation of stream line passing through the point (1,1) |
| A. | xy - 1 = 0 |
| B. | x - y = 0 |
| C. | 2x + 2y = 0 |
| D. | xy = 0 |
| Answer» B. x - y = 0 | |
| 97. |
For a two-dimensional incompressible flow field given by \(\vec u = A\left( {x\hat i - y\hat j} \right)\), where A > 0, which one of the following statements is FALSE? |
| A. | It satisfies continuity equation. |
| B. | It is unidirectional when x → 0 and y → ∞ |
| C. | Its streamlines are given by x = y . |
| D. | It is irrotational. |
| Answer» D. It is irrotational. | |
| 98. |
If the fluid velocity for a potential flow is given by V(x,y) = u(x,y)i + v(x,y)ĵ with usual notations, then the slope of the potential line at (x,y) is |
| A. | \(\frac{v}{u}\) |
| B. | \(- \frac{u}{v}\) |
| C. | \(\frac{{{v^2}}}{{{u^2}}}\) |
| D. | \(\frac{u}{v}\) |
| Answer» C. \(\frac{{{v^2}}}{{{u^2}}}\) | |
| 99. |
A stream function is given by (x2 – y2). The potential function of the flow will be |
| A. | 2xy + f(x) |
| B. | 2(x2 – y2) |
| C. | -2xy + constant |
| D. | 2xy + f(y) |
| Answer» D. 2xy + f(y) | |
| 100. |
Consider the following equations:(a) A1v1 = A2v2(b) \(\frac{{\partial u}}{{\partial x}} + \frac{{\partial v}}{{\partial y}} = 0\)(c) \(\mathop \smallint \limits_{\rm{s}} {\rm{pV}}.{\rm{dA}} + \frac{\partial }{{\partial {\rm{t}}}}\mathop \smallint \limits_{\rm{v}} {\rm{pdV}} = 0\)(d) \(\frac{1}{r}\;\frac{\partial }{{\partial r}}\left( {r{v_r}} \right) + \frac{\partial }{{\partial z}}\left( {{v_z}} \right) = 0\)Which of the above equations are forms of continuity equations? (Where u, v are velocities and V is volume) |
| A. | Only 1 |
| B. | 1 and 2 |
| C. | 2 and 3 |
| D. | 3 and 4 |
| Answer» C. 2 and 3 | |