MCQOPTIONS
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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.
| 1. |
If the fluid mass is moving in a curved path with the help of some external torque, the flow is called? |
| A. | forced vortex flow |
| B. | free vortex flow |
| C. | mixed flow |
| D. | rotating flow |
| Answer» B. free vortex flow | |
| 2. |
A stream function is given by ψ = 2xy. The magnitude of velocity at (3, 4) is- |
| A. | 2 |
| B. | 5 |
| C. | 10 |
| D. | 24 |
| Answer» D. 24 | |
| 3. |
A streamline is a line |
| A. | Which is normal to the velocity vector at every point |
| B. | Which represents lines of constant velocity potential |
| C. | Which is normal to the lines of constant stream function |
| D. | Which is tangential to the velocity vector everywhere at a given instant |
| E. | Which represents lines of constant temperature |
| Answer» E. Which represents lines of constant temperature | |
| 4. |
In a steady flow through a nozzle, the flow velocity on the nozzle axis is given by \(v\; = \;u_o\left( {1 + \frac{{3{\rm{x}}}}{L}} \right){\rm{}},\) where x is the distance along the axis of the nozzle from its inlet plane and L is the length of the nozzle. The time required for a fluid particle on the axis to travel from the inlet to the exit plane of the nozzle is |
| A. | \(\frac{L}{{{u_0}}}\) |
| B. | \(\frac{L}{{3{u_0}}}ln4\) |
| C. | \(\frac{L}{{4{u_0}}}\) |
| D. | \(\frac{L}{{2.5{u_0}}}\) |
| Answer» C. \(\frac{L}{{4{u_0}}}\) | |
| 5. |
In a two-dimensional velocity field with velocities u and v along the x and y directions respectively, the convective acceleration along the x-direction is given by |
| A. | \(u\frac{{\partial u}}{{dx}} + v\frac{{\partial u}}{{dy}}\) |
| B. | \(u\frac{{\partial u}}{{dx}} + v\frac{{\partial v}}{{dy}}\) |
| C. | \(u\frac{{\partial v}}{{dx}} + v\frac{{\partial u}}{{dy}}\) |
| D. | \(v\frac{{\partial u}}{{dx}} + u\frac{{\partial u}}{{dy}}\) |
| Answer» B. \(u\frac{{\partial u}}{{dx}} + v\frac{{\partial v}}{{dy}}\) | |
| 6. |
Flooding of a river is an example of __________ flow. |
| A. | steady and uniform |
| B. | unsteady and uniform |
| C. | steady and non-uniform |
| D. | unsteady and non-uniform |
| Answer» E. | |
| 7. |
A fluid is ideal if it is |
| A. | Inviscous and incompressible |
| B. | Inviscous compressible |
| C. | Incompressible |
| D. | Inviscous |
| Answer» B. Inviscous compressible | |
| 8. |
A fluid flow is described by velocity field U̅ = 4x2i – 5x2yj + 1kWhat is the absolute velocity (in magnitude) at the point (2, 2, 1)? |
| A. | \(\sqrt {1802} \) |
| B. | \(\sqrt {1828} \) |
| C. | \(\sqrt {1840} \) |
| D. | \(\sqrt {1857} \) |
| Answer» E. | |
| 9. |
In Laminar flow |
| A. | Experimentation is required for the simplest flow cases |
| B. | Newton’s law of viscosity applies |
| C. | The fluid particles move in irregular and haphazard path |
| D. | Viscosity is unimportant |
| Answer» C. The fluid particles move in irregular and haphazard path | |
| 10. |
A continuous line drawn through the fluid so that it has the direction of velocity vector at every point is known as: |
| A. | Streak line |
| B. | Path line |
| C. | Stream tube |
| D. | Stream line |
| Answer» E. | |
| 11. |
If the velocity, pressure and density do not change at a point with respect to time, the flow is called: |
| A. | Uniform flow |
| B. | Eulerian flow |
| C. | Lagrangian flow |
| D. | Steady flow |
| Answer» E. | |
| 12. |
For frictionless adiabatic flow of compressive fluid, the Bernoulli's equation with usual notations is |
| A. | \(\frac{k}{{k - 1}}\frac{{{p_1}}}{{{w_1}}} + \frac{{v_1^2}}{{2g}} + {z_1} = \frac{k}{{k - 1}}\frac{{{p_2}}}{{{w_2}}} + \frac{{v_2^2}}{{2g}} + {z_2} + {h_L}\) |
| B. | \(\frac{k}{{k - 1}}\frac{{{p_1}}}{{{w_1}}} + \frac{{v_1^2}}{{2g}} + {z_1} = \frac{k}{{k - 1}}\frac{{{p_2}}}{{{w_2}}} + \frac{{v_2^2}}{{2g}} + {z_2}\) |
| C. | \(\frac{{{p_1}}}{{{w_2}}} + \frac{{v_1^2}}{{2g}} + {z_1} + {H_m}\frac{{{p_2}}}{{{w_2}}} + \frac{{v_2^2}}{{2g}} + {z_2}\) |
| D. | \(\frac{k}{{k - 1}}\frac{{{p_1}}}{{{w_1}}} + \frac{{v_1^2}}{{2g}} + {z_1} + {H_m} = \frac{{{p_2}}}{{{w_2}}} + \frac{{v_2^2}}{{2g}} + {z_2} + {h_L}\) |
| Answer» C. \(\frac{{{p_1}}}{{{w_2}}} + \frac{{v_1^2}}{{2g}} + {z_1} + {H_m}\frac{{{p_2}}}{{{w_2}}} + \frac{{v_2^2}}{{2g}} + {z_2}\) | |
| 13. |
Oil is flowing in a pipe of 30 cm diameter with a velocity of 2 m/s. At another section of the pipe, the diameter is 20 cm. What will be the velocity of flow at that section? |
| A. | 3 m/s |
| B. | 7.5 m/s |
| C. | 4.5 m/s |
| D. | 6 m/s |
| Answer» D. 6 m/s | |
| 14. |
A stream tube represents: |
| A. | A line traced by a particle of fluid during its movement over a period of time |
| B. | An open channel flow |
| C. | An imaginary tube formed by a group of streamlines passing through an area in a flowing fluid |
| D. | An imaginary line, tangent to which at any point gives the direction of the velocity of the flow of a fluid |
| Answer» D. An imaginary line, tangent to which at any point gives the direction of the velocity of the flow of a fluid | |
| 15. |
If a stream function satisfies the Laplace equation, it is a possible case of fluid flow which is |
| A. | Rotational |
| B. | Unsteady |
| C. | Turbulent |
| D. | Irrotational |
| Answer» E. | |
| 16. |
An open cylindrical tank of 2 m diameter and 4 m high, contains water up to 1.5 m depth. If the cylinder rotates about the vertical axis, what angular velocity can be attained without spilling any water? |
| A. | 12.9 radians/sec |
| B. | 10.9 radians/sec |
| C. | 9.9 radians/sec |
| D. | 11.1 radians/sec |
| Answer» D. 11.1 radians/sec | |
| 17. |
Existence of velocity potential implies that the fluid flow is- |
| A. | Steady |
| B. | Uniform |
| C. | Irrotational |
| D. | In continuum |
| Answer» D. In continuum | |
| 18. |
______ flow is defined as that type of flow in which the velocity at any given time does not change with respect to space. |
| A. | Uniform |
| B. | Non-uniform |
| C. | Steady |
| D. | Unsteady |
| Answer» B. Non-uniform | |
| 19. |
Consider the following parameters1) Velocity2) Velocity potential3) Stream FunctionAmong these, those which exist both in rotational & irrotational flows would include |
| A. | 1, 2 |
| B. | 2, 3 |
| C. | 1, 3 |
| D. | 1, 2, 3 |
| Answer» D. 1, 2, 3 | |
| 20. |
An incompressible liquid flows steadily through a pipe of varying cross-section from A1 to A2. Given: \(\frac{A_1}{A2}~=~0.5\) , V1 at A1 is 2 m/s. Value of V2 at A2 is |
| A. | 4 m/s |
| B. | 1 m/s |
| C. | 0.25 m/s |
| D. | 3 m/s |
| Answer» C. 0.25 m/s | |
| 21. |
A potential function |
| A. | is constant along a streamline |
| B. | is defined, if streamline function is available for the flow |
| C. | describe the flow, if it is rotational |
| D. | describe the flow, if it is irrotational |
| Answer» E. | |
| 22. |
In turbulent flow in a pipe |
| A. | Shear stress varies linearly with radius |
| B. | head loss varies linearly with a flow rate |
| C. | Fluid particles move in a straight line |
| D. | Reynolds number is less than 1000 |
| Answer» B. head loss varies linearly with a flow rate | |
| 23. |
Circulation is defined as the line integral of tangential component of velocity about a |
| A. | Centre |
| B. | Close contour in a fluid flow |
| C. | Velocity profile |
| D. | Pressure profile |
| Answer» C. Velocity profile | |
| 24. |
For a two dimensional flow, the stream function is given by ψ = 2xy. The velocity at a point (3, 4) is equal to:- |
| A. | 6 m/sec |
| B. | 8 m/sec |
| C. | 10 m/sec |
| D. | 12 m/sec |
| Answer» D. 12 m/sec | |
| 25. |
Fluid flows through a converging nozzle, with the exit diameter equal to half the entrance diameter. Assuming an ideal flow, if the velocity at the entrance is 2 m/s, then the velocity at the exit is: |
| A. | 16 m/s |
| B. | 32 m/s |
| C. | 8 m/s |
| D. | 4 m/s |
| Answer» D. 4 m/s | |
| 26. |
For irrotational fluid flow curl of velocity vector is |
| A. | 0 |
| B. | > 0 |
| C. | < 0 |
| D. | None of these |
| Answer» B. > 0 | |
| 27. |
For a steady two-dimensional flow, the scalar components of the velocity field are Vx = -2x, vy = 2y, vz = 0.The corresponding components of acceleration ax and ay, respectively are; |
| A. | ax = 0, ay = 0 |
| B. | ax = 4x, ay = 0 |
| C. | ax = 0, ay = 4y |
| D. | ax = 4x, ay = 4y |
| Answer» E. | |
| 28. |
Continuity equation can take the form - (where A = Area, V = Velocity, ρ = Density and P = Pressure) |
| A. | A1V1 = A2V2 |
| B. | P1V1 = P2V2 |
| C. | ρ1A1 = ρ2A2 |
| D. | P1A1V1 = P2A2V2 |
| Answer» B. P1V1 = P2V2 | |
| 29. |
In a two dimensional incompressible fluid flow field, the stream function at a point P (2, 1) is given by an expression ψ = 2xy. The value of velocity potential at P is |
| A. | 3 |
| B. | 2.5 |
| C. | 4 |
| D. | 5 |
| Answer» B. 2.5 | |
| 30. |
Given is the procedure for construction of flow net. Which of the following options is correct sequence of construction?1. Sketch one flow line or one equipotential line adjacent to a boundary flow line or a boundary equipotential line.2. Draw the hydraulic structure, the head water elevation and the soil profiles to a convenient scale.3. Expand the sketching to more equipotential lines and flow lines, always keeping in mind that roughly square figures should result in the process4. Establish the boundary conditions. |
| A. | 2,4,1, 3 |
| B. | 4,3,1,2 |
| C. | 2,3,1,4 |
| D. | 1,2,3,4 |
| Answer» B. 4,3,1,2 | |
| 31. |
A pipeline tapers from 500 mm diameter to 250 mm diameter. From this pipe, water is flowing at a volume of 6.4 m3/s. Find the average water velocity at the small end. |
| A. | 212.44 m/s |
| B. | 100.44 m/s |
| C. | 157.44 m/s |
| D. | 130.44 m/s |
| Answer» E. | |
| 32. |
In a uniform flow, the velocities of fluid particles: |
| A. | move in a well defined path |
| B. | are perpendicular to each other |
| C. | are always dependent on time |
| D. | do not change with respect to space at any given time |
| Answer» E. | |
| 33. |
For a two-dimensional flow, the velocity field is \(\vec u = \frac{x}{{{x^2} + {y^2}}}\hat i + \frac{y}{{{x^2} + {y^2}}}\hat j,\) where î and ĵ are the basis vectors in the x-y Cartesian coordinate system. Identify the CORRECT statements from below.basis vectors in the x-y Cartesian coordinate system. Identify the CORRECT statements from below.1) The flow is incompressible.2) The flow is unsteady.3) y-component of acceleration, \({a_y} = - \frac{y}{{{{\left( {{x^2} + {y^2}} \right)}^2}}}\)4) x-component of acceleration, \({a_x} = \frac{{ - \left( {x + y} \right)}}{{{{\left( {{x^2} + {y^2}} \right)}^2}}}\) |
| A. | and 3) |
| B. | and 3) |
| C. | and 2) |
| D. | and 4) |
| Answer» C. and 2) | |
| 34. |
If fluid flow material acceleration is zero, then flow is ______. |
| A. | steady and uniform |
| B. | unsteady and uniform |
| C. | unsteady and non-uniform |
| D. | steady and non-uniform |
| Answer» B. unsteady and uniform | |
| 35. |
For a steady flow, the velocity field is \(\vec V = \left( { - {x^2} + 3y} \right)\hat i + \left( {2xy} \right)\hat j\) . The magnitude of the acceleration of a particle at (1, -1) is |
| A. | 2 |
| B. | 1 |
| C. | \(2\sqrt 5 \) |
| D. | 0 |
| Answer» D. 0 | |
| 36. |
An open rectangular tank of dimensions 4 m × 3 m × 2 m contains water to a height of 1.6 m. It is then accelerated along the longer side. What is the maximum acceleration possible without spilling the water? If this acceleration is then increased by 10%, what amount of water will be spilt off? |
| A. | 1.472 m/s2 and 0.48 m3 |
| B. | 1.962 m/s2 and 0.48 m3 |
| C. | 1.472 m/s2 and 0.52 m3 |
| D. | 1.962 m/s2 and 0.52 m3 |
| Answer» C. 1.472 m/s2 and 0.52 m3 | |
| 37. |
A two-dimensional flow field has velocities along the x and y directions given by u = x2t and v = - 2xyt respectively, where t is time. The equation of streamlines is: |
| A. | x2y = constant |
| B. | xy2 = constant |
| C. | xy = constant |
| D. | Not possible to determine |
| Answer» B. xy2 = constant | |
| 38. |
In a stream line steady flow, two points A and B on a stream line are 1 m apart and the flow velocity varies uniformly from 2 m/s to 5 m/s. What is the acceleration of fluid at B? |
| A. | 3 m/s2 |
| B. | 6 m/s2 |
| C. | 9m/s2 |
| D. | 15 m/s2 |
| Answer» E. | |
| 39. |
For a certain two-dimensional incompressible flow, velocity field is given by 2xy î - y2ĵ . The streamlines for this flow are given by the family of curves |
| A. | x2y2 = constant |
| B. | xy2 = constant |
| C. | 2xy – y2 = constant |
| D. | xy = constant |
| Answer» C. 2xy – y2 = constant | |
| 40. |
Consider the following statements regarding streamline(s) :i) It is a continuous line such that the tangent at any point on it shows the velocity vector at that pointii) There is no flow across streamlinesiii) \(\frac{{{\rm{dx}}}}{{\rm{u}}} = \frac{{{\rm{dy}}}}{{\rm{v}}} = \frac{{{\rm{dz}}}}{{\rm{w}}}\) is the differential equation of a streamline, where u, v and w are velocities in directions x, y and z, respectivelyiv) In an unsteady flow, the path of a particle is a streamlineWhich one of the following combinations of the statements is true? |
| A. | (i), (ii), (iv) |
| B. | (ii), (iii), (iv) |
| C. | (i), (iii), (iv) |
| D. | (i), (ii), (iii) |
| Answer» E. | |
| 41. |
At a point on a streamline, the velocity is 3 m/sec and the radius of curvature is 9 m. If the rate of increase of velocity along the streamline at this point is 1/3 m/sec/m, then the total acceleration at this point would be _____. |
| A. | 1 m/sec2 |
| B. | 3 m/sec2 |
| C. | 1/3 m/sec2 |
| D. | √2 m/sec2 |
| Answer» E. | |
| 42. |
A flow in which fluid moves rapidly inwards towards a point where it disappears at a constant rate, is called as: |
| A. | Sink flow |
| B. | Compressible flow |
| C. | Incompressible flow |
| D. | Steady flow |
| E. | Non laminar flow |
| Answer» B. Compressible flow | |
| 43. |
A fluid field is given by, U = xy Î + 3yz ĵ – (2yz + z2 ) k + 3t. The acceleration in z direction at point (1, 2, 4) would be: |
| A. | 184 unit |
| B. | 192 unit |
| C. | 204 unit |
| D. | zero |
| Answer» C. 204 unit | |
| 44. |
A stream line and an equipotential line in a two dimensional inviscid flow field- |
| A. | Are perpendicular to each other |
| B. | Intersect at an acute angle |
| C. | Are parallel to each other |
| D. | Are identical |
| Answer» B. Intersect at an acute angle | |
| 45. |
In a one-dimensional flow field in a pipe, the fluid velocity is given by u = x + 2t where ‘t’ is the time. The flow in the pipe is: |
| A. | Steady non-uniform flow |
| B. | Unsteady uniform flow |
| C. | Steady uniform flow |
| D. | Unsteady non-uniform flow |
| Answer» E. | |
| 46. |
Match the following pairs:EquationPhysical Interpretation(P) \(\nabla \times \bar V = 0\)(I) Incompressible continuity equation(Q) \(\nabla .\bar V = 0\)(II) Steady flow(R) \(\frac{{DV}}{{DT}} = 0\)(III) Irrotational flow(S) \(\frac{{\partial \bar V}}{{\partial t}} = 0\)(IV) Zero acceleration of fluid particle |
| A. | P-IV, Q-I, R-II, S-III |
| B. | P - IV, Q - III, R - I, S - II |
| C. | P - III,Q - I, R - IV, S - II |
| D. | P - III, Q - I, R – II, S - IV |
| Answer» D. P - III, Q - I, R – II, S - IV | |
| 47. |
A steady, incompressible, two-dimensional velocity field is given by, \(\vec V = \left( {u,v} \right) = \left( {0.5 + 0.8x} \right)\hat i + \left( {1.5 - 0.8y} \right)\hat j\) The number of stagnation points there in the flow field is |
| A. | Zero |
| B. | Many |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 48. |
For the continuity equation given by \(\vec \nabla \cdot {\rm{\vec V}} = 0\) to be valid, where \({\rm{\vec V}}\) is the velocity vector, which one of the following is a necessary condition? |
| A. | Steady flow |
| B. | Irrotational flow |
| C. | Inviscid flow |
| D. | Steady and incompressible flow |
| Answer» E. | |
| 49. |
A flow in which each liquid particle has a definite path and their paths do not cross each other is called |
| A. | Steady flow |
| B. | Uniform flow |
| C. | Streamline flow |
| D. | Turbulent flow |
| Answer» D. Turbulent flow | |
| 50. |
In a turbulent flow in a pipe, the shear stress is |
| A. | maximum at the center and decreases linearly towards the wall |
| B. | maximum at the center and decreases logarithmically towards the wall |
| C. | maximum midway between the center line and the wall |
| D. | maximum at the wall and decreases linearly to zero value at the center |
| E. | maximum at the wall and decreases logarithmically to zero value at the center |
| Answer» E. maximum at the wall and decreases logarithmically to zero value at the center | |