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This section includes 6 Mcqs, each offering curated multiple-choice questions to sharpen your Mechanical Operations knowledge and support exam preparation. Choose a topic below to get started.
1. |
What are the dimensions of velocity gradient? |
A. | T<sup>-1</sup> |
B. | Dimensionless |
C. | L<sup>-1</sup> |
D. | M<sup>-1</sup> |
Answer» B. Dimensionless | |
2. |
The acceleration of a body is given by, a = t3 + 3t2 + 2t + 5. Determine the velocity gradient between t1 = 2 seconds and t2 = 5 seconds, at distance x = 5 meters. |
A. | 305.25 s<sup>-1</sup> |
B. | 305 s |
C. | 60 s<sup>-1</sup> |
D. | 61.05 s<sup>-1</sup> |
Answer» E. | |
3. |
The velocity field is given as v = (xy, xyz, z2xy). What is the velocity gradient at (x, y, z) = (2, 3, 4) ? |
A. | 6 s<sup>-1</sup> |
B. | 12 s<sup>-1</sup> |
C. | 28 s<sup>-1</sup> |
D. | 0 s<sup>-1</sup> |
Answer» E. | |
4. |
Which of the following derivative represents velocity gradient ? (Here, v is velocity, t is time and x is position) |
A. | dv/dt |
B. | dv/dx |
C. | d<sup>2</sup>v/dx<sup>2</sup> |
D. | d<sup>2v</sup>/dt<sup>2</sup> |
Answer» B. dv/dx | |
5. |
Velocity gradient has units similar to which of the following quantities? |
A. | Acceleration |
B. | Distance |
C. | Frequency |
D. | Work |
Answer» D. Work | |
6. |
Which one of the following is the correct unit of velocity gradient? |
A. | ms<sup>-1</sup> |
B. | m<sup>3</sup>s<sup>-1</sup> |
C. | s<sup>-1</sup> |
D. | m |
Answer» D. m | |