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 \(v_0\) and \(a_0,\) respectively. The time period of the SHM is:
1. \(\frac{2\pi v_0}{a_0}\)
2. \(\frac{2\pi a_0}{v_0}\)
3. \(\frac{v_0}{a_0}\)
4. \(\frac{2v_0}{a_0}\)
1. | \(0.01~\text{Hz}\) | 2. | \(0.02~\text{Hz}\) |
3. | \(0.03~\text{Hz}\) | 4. | \(0.04~\text{Hz}\) |
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 |
Two pendulums suspended from the same point have lengths of \(2\) m and \(0.5\) m. If they are displaced slightly and released, then they will be in the same phase when the small pendulum has completed:
1. \(2\) oscillations
2. \(4\) oscillations
3. \(3\) oscillations
4. \(5\) oscillations