A particle moves in a circular path with a continuously increasing speed. Its motion is:
1. periodic
2. oscillatory
3. simple harmonic
4. none of them
1. | eāĻt | 2. | sinĻt |
3. | sinĻt+cosĻt | 4. | sin(Ļt+Ļ/4) |
Trains travel between station A and station B: on the way up (from A to B) - they travel at a speed of 80 km/h, while on the return trip the trains travel at twice that speed. The services are maintained round the clock. Trains leave station A every 30 min for station B and reach B in 2 hrs. All trains operate continuously, without any rest at A or B.
1. | the frequency of trains leaving B must be twice as much as A. |
2. | the frequency of trains leaving B must be half as much as A. |
3. | the frequency of trains leaving B is equal to that at A. |
4. | the situation is impossible to maintain unless larger number of trains are provided at A. |
1. | circular motion |
2. | x-axis | SHM along
3. | y-axis | SHM along
4. | x or y-axis | SHM, but along a direction other than
Statement I: | A graph of its acceleration vs displacement (from mean position) is a straight line. |
Statement II: | A graph of its velocity vs displacement (from mean position) is an ellipse. |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |
The maximum speed and acceleration of a particle undergoing SHM are v0 and a0, respectively. The time period of the SHM is:
1. 2Ļv0a0
2. 2Ļa0v0
3. v0a0
4. 2v0a0
1. | 0.01 Hz | 2. | 0.02 Hz |
3. | 0.03 Hz | 4. | 0.04 Hz |
The time period of a particle in simple harmonic motion is equal to the time between consecutive appearances of the particle at a particular point in its motion. This point is:
1. | the mean position |
2. | an extreme position |
3. | between the mean position and the positive extreme |
4. | between the mean position and the negative extreme |
1. | uniform circular motion |
2. | elliptical motion |
3. | linear SHM |
4. | angular SHM along a circle |