MCQOPTIONS
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MCQOPTIONS
This section includes 59 Mcqs, each offering curated multiple-choice questions to sharpen your Fluid Mechanics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Convective acceleration is defined as the rate of change of velocity due to change of velocity with respect to time. |
| A. | True |
| B. | False |
| Answer» C. | |
| 2. |
Which equation must be perfunctorily satisfied while dealing with fluid flow problems? |
| A. | Newton’s second law |
| B. | Newton’s third law |
| C. | Law of conservation of momentum |
| D. | Continuity equation |
| Answer» E. | |
| 3. |
Total acceleration has the same value as convective acceleration in case of unsteady flow. |
| A. | True |
| B. | False |
| Answer» C. | |
| 4. |
Convective acceleration cannot be found if the fluid flow equation is not satisfyingthe continuity equation but local acceleration can be found. |
| A. | True |
| B. | False |
| Answer» C. | |
| 5. |
A fluid flow field is given byV=y2xi+z2x-(2xyz+yz)kCalculate it’s acceleration at the point (2,4,4) |
| A. | 36i-27j+100k |
| B. | 36i-27j-100k |
| C. | 28i+27j+100k |
| D. | 36ne of the mentioned |
| Answer» E. | |
| 6. |
A fluid flow field is given byV=x2yi+y2z-(2xyz+yz)kCalculate it’s acceleration at the point (1,3,5) |
| A. | 28i-3j+125k |
| B. | 28i-3j-125k |
| C. | 28i+3j+125k |
| D. | None of the mentioned |
| Answer» E. | |
| 7. |
Determine the third velocity component such that continuity equation is satisfied if two components are u=x2+y2+z2, v=xy2 – yz2 + xy |
| A. | -3xz-2xyz+z2/3+f(y,z) |
| B. | -3xz+2xyz+z3/3+f(y,z) |
| C. | -3xz-2xyz+z3/3+f(x,z) |
| D. | -3xz-2xyz+z3/3+f(y,z) |
| Answer» E. | |
| 8. |
Determine the third velocity component such that continuity equation is satisfied if two components are u=2y2, w=2xyz. |
| A. | -2xy+x2y+f(y,z) |
| B. | 4xy-x2y+f(y,z) |
| C. | -4xy-x2y+f(y,z) |
| D. | -2xy-x2y+f(y,z) |
| Answer» D. -2xy-x2y+f(y,z) | |
| 9. |
The velocity vector in a fluid is given V=5x4+3y2+2z( in metre/sec). What is the acceleration of it at point (1,3,4) ? |
| A. | 40 m/s2 |
| B. | 20 m/s2 |
| C. | . What is the acceleration of it at point (1,3,4) ?a) 40 m/s2b) 20 m/s2c) 60 m/s2 |
| D. | 80 m/s2 |
| Answer» B. 20 m/s2 | |
| 10. |
A rigid rod PQ shown in figure is connected to two sliders at each end through pins. The sliders can slide along PR and QR. If the velocity of the slider at P is 4 m/s, the velocity of the midpoint of the rod PQ at this instant is |
| A. | 4 m/s |
| B. | 3 m/s |
| C. | 2 m/s |
| D. | 1 m/s |
| Answer» D. 1 m/s | |
| 11. |
A rigid link PQ of length 1.0 m is pinned at P. It rotates about P in a vertical plane with a uniform angular acceleration of 1.0 rad/s2 . At an instant when the angular velocity of the link is 1.0 rad/s, the magnitude of total acceleration (in m/s2 ) of point Q relative to point P is |
| A. | 1.41 |
| B. | 1.73 |
| C. | 2 |
| D. | 2.83 |
| Answer» B. 1.73 | |
| 12. |
If the rotational speed of a crank of radius 50 cm is 100 RPM and the angular acceleration is 50 rad/s2, then the tangential acceleration of the crank will be: |
| A. | 50 m/s2 |
| B. | 2.5 m/s2 |
| C. | 25 m/s2 |
| D. | 0.25 m/s2 |
| Answer» D. 0.25 m/s2 | |
| 13. |
In a mechanism, the number of Instantaneous centres (I-centres) N is |
| A. | \(\frac{{n\left( {n - 1} \right)}}{2}\) |
| B. | \(\frac{{n\left( {2n - 1} \right)}}{2}\) |
| C. | \(\frac{{2n\left( {n - 1} \right)}}{3}\) |
| D. | \(\frac{{n\left( {2n - 1} \right)}}{3}\) |
| Answer» B. \(\frac{{n\left( {2n - 1} \right)}}{2}\) | |
| 14. |
If a block slides outward on a link at a uniform rate of 30 m/s, while the link is rotating at a constant angular velocity of 50 rad/s counter clockwise, the Coriolis component of acceleration is ___________ m/s2. |
| A. | 1000 |
| B. | 1500 |
| C. | 3000 |
| D. | 4500 |
| Answer» D. 4500 | |
| 15. |
In a crank and slotted lever type quick rerun mechanism, the link moves with an angular velocity of 20 rad/s while the slider moves with a linear velocity of 1.5 m/s. The magnitude and direction of Coriolis component of acceleration with respect to angular velocity are |
| A. | 30m/s2 and direction is such as to rotate slider velocity in the same sense as the angular velocity |
| B. | 30 m/s2 and direction is such as to rotate slider velocity in the opposite sense as the angular velocity |
| C. | 60 m/s2 and direction is such as to rotate slider velocity in the same sense as the angular velocity |
| D. | 60 m/s2 and direction is such as to rotate slider velocity in the opposite sense as the angular velocity |
| Answer» D. 60 m/s2 and direction is such as to rotate slider velocity in the opposite sense as the angular velocity | |
| 16. |
A rod AB of length 1 m is sliding as shown in the figure. At an instant when the rod makes 60° angle with the horizontal plane, the downwards velocity of point A is 1 m/s. What is the angular velocity of the rod at that instant? |
| A. | 2.0 rad/s |
| B. | 1.5 rad/s |
| C. | 0.5 rad/s |
| D. | 0.75 rad/s |
| Answer» B. 1.5 rad/s | |
| 17. |
In Klein's construction for reciprocating engine mechanism, the scale of acceleration diagram will be |
| A. | linear scale of configuration diagram |
| B. | linear scale of configuration diagram multiplied by square of angular velocity of crank |
| C. | square of the linear scale of configuration diagram |
| D. | square of the linear scale of configuration diagram multiplied by square of angular velocity of crank |
| Answer» C. square of the linear scale of configuration diagram | |
| 18. |
A four-bar mechanism is as shown in the figure below. At the instant shown, AB is shorter than CD by 30 cm. AB is rotating at 5 rad/sec and CD is rotating at 2 rad/sec.The length of AB is |
| A. | 10 cm |
| B. | 20 cm |
| C. | 30 cm |
| D. | 40 cm |
| Answer» C. 30 cm | |
| 19. |
A circular object of radius ‘r’ rolls without slipping on a horizontal level floor with the center having velocity V. The velocity at the point of contact between the object and the floor is |
| A. | zero |
| B. | V in the direction of motion |
| C. | V opposite to the direction of motion |
| D. | V vertically upward from the floor |
| Answer» B. V in the direction of motion | |
| 20. |
A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure below.If OA = 1 m, the magnitude of the absolute acceleration of the block at location A in m/s2 is |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» D. 6 | |
| 21. |
For the four-bar linkage shown in the figure, the angular velocity of link AB is 1 rad/s. the length of link CD is 1.5 times the length of link AB. In the configuration shown, the angular velocity of link CD in rad/s is |
| A. | 3 |
| B. | \(\frac{3}{2}\) |
| C. | 1 |
| D. | \(\frac{2}{3}\) |
| Answer» E. | |
| 22. |
In a four bar planar mechanism shown in the figure, AB = 5 cm, AD = 4 cm and DC = 2 cm. In the configuration shown, both AB and DC are perpendicular to AD. The bar AB rotates with an angular velocity of 10 rad/s. The magnitude of angular velocity (in rad/s) of bar DC at this instant is ______ |
| A. | 0 |
| B. | 10 |
| C. | 15 |
| D. | 25 |
| Answer» E. | |
| 23. |
A rigid link PQ is 2 m long and oriented at 20° to the horizontal as shown in the figure. The magnitude and direction of velocity VQ, and the direction of velocity Vp are given . The magnitude VP (in m/s) at this instant is |
| A. | 2.14 |
| B. | 1.89 |
| C. | 1.21 |
| D. | 0.96 |
| Answer» E. | |
| 24. |
In the mechanism shown here, points C, A and D are in same straight line. If CA = 20 mm, CD = 40 mm and ω2 = 4 rad/s (CCW), then the value of ω4 in rad/s is: |
| A. | 4.0 (CCW) |
| B. | 4.0 (CW) |
| C. | 3.5 (CW) |
| D. | 3.5 (CCW) |
| Answer» C. 3.5 (CW) | |
| 25. |
A slider moves with uniform velocity v on a revolving link of length r with angular velocity ω. The Coriolis acceleration component of a point on the slider relative to a coincident point on the link is equal to |
| A. | ωv parallel to the link |
| B. | 2ωv perpendicular to the link |
| C. | ωv perpendicular to the link |
| D. | 2ωv parallel to the link |
| Answer» C. ωv perpendicular to the link | |
| 26. |
If angular velocity (ω) is expressed as the formula ω = 2πν, then here 'ν' represents ______________. |
| A. | velocity |
| B. | time period |
| C. | angular displacement |
| D. | frequency |
| Answer» E. | |
| 27. |
A link EF in a slider crank mechanism has a length of 0.4 m. The velocity of end E with respect to F is 4.9 m/s. The angular velocity of the link is: |
| A. | 0.01225 rad/s |
| B. | 1.225 rad/s |
| C. | 12.25 rad/s |
| D. | 122.5 rad/s |
| Answer» D. 122.5 rad/s | |
| 28. |
Consider the mechanism shown in the figure. There is rolling contact without slip between the disc and ground.Select the correct statement about instantaneous centers in the mechanism. |
| A. | Only points P, Q, S and T are instantaneous centers of mechanism. |
| B. | Only points P, Q and S are instantaneous centers of mechanism. |
| C. | All points P, Q, R, S T and U are instantaneous centers of mechanism. |
| D. | Only points P, Q, R, S, and U are instantaneous centers of mechanism. |
| Answer» D. Only points P, Q, R, S, and U are instantaneous centers of mechanism. | |
| 29. |
Coriolis component of acceleration depends on1. angular velocity of the link2. acceleration of the slider3. angular acceleration of the linkWhich of the above is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | 1 and 3 |
| D. | 2 and 3 |
| Answer» B. 2 only | |
| 30. |
A rigid triangular body, PQR, with sides of equal length of 1 unit moves on a flat plane. At the instant shown, edge QR is parallel to the x-axis, and the body moves such that velocities of points P and R are VP and VR, in the x and y directions, respectively. The magnitude of the angular velocity of the body is |
| A. | 2VR |
| B. | 2VP |
| C. | VR/√3 |
| D. | VP/√3 |
| Answer» B. 2VP | |
| 31. |
If the relative motion between two links is pure sliding, then the relative instantaneous centre is: |
| A. | not defined |
| B. | at the point of contact |
| C. | at the infinity on a line perpendicular to the direction of sliding |
| D. | at a point unit distance away on the common normal at the point of sliding |
| Answer» D. at a point unit distance away on the common normal at the point of sliding | |
| 32. |
In the figure shown below, the relative velocity of link 1 with respect to link 2 is 15 m/s. The link 2 rotates at a constant speed of 150 rpm. The magnitude of Coriolis component of acceleration of link 1 is |
| A. | 201 m/s2 |
| B. | 239 m/s2 |
| C. | 418 m/s2 |
| D. | 471 m/s2 |
| Answer» E. | |
| 33. |
A rigid rod of length 1 m is resting at an angle θ = 45° as shown in the figure. The end P is dragged with a velocity of U = 5 m/s to the right. At the instant shown, the magnitude of the velocity V (in m/s) of point Q as it moves along the wall without losing contact is |
| A. | 5 |
| B. | 6 |
| C. | 8 |
| D. | 10 |
| Answer» B. 6 | |
| 34. |
In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is |
| A. | 0.05 |
| B. | 0.1 |
| C. | 5 |
| D. | 10 |
| Answer» C. 5 | |
| 35. |
In the figure, link 2 rotates with constant angular velocity ω2. A slider link 3 moves outwards with a constant relative velocity VQ/P, where Q is a point on slider 3 and P is a point on link 2. The magnitude and direction of Coriolis component of acceleration is given by |
| A. | 2ω2 VQ/P ; direction of VQ/P rotated by 90° in the direction ω2 |
| B. | ω2 VQ/P ; direction of VQ/P rotated by 90° in the direction ω2 |
| C. | 2ω2 VQ/P ; direction of VQ/P rotated by 90° opposite to the direction of ω2 |
| D. | ω2 VQ/P ; direction of VQ/P rotated by 90° opposite to the direction ω2 |
| Answer» B. ω2 VQ/P ; direction of VQ/P rotated by 90° in the direction ω2 | |
| 36. |
A disc of radius 30 cm is rolling without slip with an angular velocity of 10 rad/s on a horizontal surface. Which of the following statements is NOT true? |
| A. | Linear velocity of all the points is different |
| B. | Speed of all the points is different |
| C. | Acceleration of all the points is different |
| D. | Linear velocity of the point touching the horizontal surface is zero |
| Answer» C. Acceleration of all the points is different | |
| 37. |
For the configuration shown, the angular velocity of link AB is 10 rad/s counterclockwise. The magnitude of the relative sliding velocity (in ms-1) of slider B with respect to rigid link CD is__(Dimensions in mm) |
| A. | 0 |
| B. | 0.36 |
| C. | 1.25 |
| D. | 2.5 |
| Answer» E. | |
| 38. |
In a slider-crank mechanism, the velocity of piston becomes maximum when |
| A. | Crank and connecting rod are in line with each other |
| B. | Crank is perpendicular to the line of stroke of the piston |
| C. | Crank and connecting rod are mutually perpendicular |
| D. | Crank is 120° with the line of stroke |
| Answer» C. Crank and connecting rod are mutually perpendicular | |
| 39. |
Kennedy’s theorem states that if three bodies have plane motions, their instantaneous centres lie on |
| A. | A straight line |
| B. | A point |
| C. | A triangle |
| D. | A curve |
| Answer» B. A point | |
| 40. |
A solid disc of radius r rolls without slipping on the horizontal floor with angular velocity ω and angular acceleration α. The magnitude of acceleration of the point of contact on the disc is |
| A. | zero |
| B. | rα |
| C. | \(\sqrt {{{\left( {r\alpha } \right)}^2} + {{\left( {r{\omega ^2}} \right)}^2}}\) |
| D. | rω2 |
| Answer» E. | |
| 41. |
A link (OA) of length ‘r’ with center ‘O’, rotates in a circular path in clockwise direction with constant angular velocity (ω). The tangential and radial acceleration of point (A) relative to center is respectively given by: |
| A. | 0, ω2r |
| B. | 0, 0 |
| C. | ω2r, 0 |
| D. | ω2r, ω2r |
| Answer» B. 0, 0 | |
| 42. |
Name the mechanism in which the Coriolis component of acceleration to be considered |
| A. | Quick Return motion mechanism |
| B. | Four-bar mechanism |
| C. | Slider crank mechanism |
| D. | Beam engine |
| Answer» B. Four-bar mechanism | |
| 43. |
Klein’s construction is mainly used to: |
| A. | determine the linear velocity of piston |
| B. | determine the linear acceleration of piston |
| C. | determine the linear displacement of piston |
| D. | none of the above |
| Answer» C. determine the linear displacement of piston | |
| 44. |
A circular disk of radius R rolls without slipping at a Velocity V. The magnitude of the velocity at point P (see figure) is |
| A. | √3 V |
| B. | √3/2V |
| C. | V/2 |
| D. | √2V |
| Answer» B. √3/2V | |
| 45. |
Angular acceleration of a link AB is found by dividing the |
| A. | centripetal component of acceleration of B relative to A length AB |
| B. | linear velocity of B relative to A by length AB |
| C. | total acceleration of B relative to A by length AB |
| D. | tangential component of acceleration of B relative to A by length AB |
| Answer» E. | |
| 46. |
Angular velocity of a car turning of 100 m radius is 0.1 rad/sec. Find the linear velocity of the car. |
| A. | 360 kmph |
| B. | 36 kmph |
| C. | 3.6 kmph |
| D. | 0.36 kmph |
| Answer» C. 3.6 kmph | |
| 47. |
Match the items in columns I and II.Column IColumn II(P) Addendum(1) Cam(Q) Instantaneous center of velocity(2) Beam(R) Section modulus(3) Linkage(S) Prime circle(4) Gear |
| A. | P - 4 Q - 2 R - 3 S - 1 |
| B. | P - 4 Q - 3 R - 2 S – 1 |
| C. | P - 3 Q - 2 R - 1 S – 4 |
| D. | P - 3 Q - 4 R - 1 S - 2 |
| Answer» C. P - 3 Q - 2 R - 1 S – 4 | |
| 48. |
A rigid link PQ is undergoing plane motion as shown in the figure (VP and VQ are non-zero). VQP is the relative velocity of point Q with respect to point PWhich one of the following is TRUE? |
| A. | VQP has components along and perpendicular to PQ |
| B. | VQP has only one component directed from P to Q |
| C. | VQP has only one component directed from Q to P |
| D. | VQP has only one component perpendicular to PQ |
| Answer» E. | |
| 49. |
If the directions of velocity at two different points (A and B) on a rigid body are parallel and equal in magnitude (VA = VB) as shown in the figure. Then its instantaneous center will be: |
| A. | At centroid of the body |
| B. | On the surface of the body |
| C. | At infinity |
| D. | Outside the body but not at infinity |
| Answer» D. Outside the body but not at infinity | |
| 50. |
In a slider bar mechanism when does the connecting rod have zero angular velocity |
| A. | When crank angle = 0° |
| B. | When crank angle = 90° |
| C. | When crank angle = 45° |
| D. | never |
| Answer» C. When crank angle = 45° | |