- 1(current)
Q. No.The variation of acceleration, \(a\) of a particle executing SHM with displacement \(x\) is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Simple Harmonic Motion |
 69%
Level 2: 60%+
Hints
The velocity-time diagram of a harmonic oscillator is shown in the figure given below. The frequency of oscillation will be:
1. \(25~\text{Hz}\)
2. \(50~\text{Hz}\)
3. \(12.25~\text{Hz}\)
4. \(33.3~\text{Hz}\)
Subtopic: Â Simple Harmonic Motion |
 75%
Level 2: 60%+
Hints
The (displacement-time) graph of a particle executing SHM is shown in the figure. Then:
| (a) | the force is zero at \(t=\dfrac{3T}{4}\) |
| (b) | the acceleration is maximum at \(t=\dfrac{4T}{4}\) |
| (c) | the velocity is maximum at \(t=\dfrac{T}{4}\) |
| (d) | the potential energy is equal to the kinetic energy of oscillation at \(t=\dfrac{T}{2}\) |
| 1. | (a), (b) and (d) only | 2. | (a), (b) and (c) only |
| 3. | (b), (c) and (d) only | 4. | (c) and (d) only |
Subtopic: Â Simple Harmonic Motion |
 68%
Level 2: 60%+
Hints
Given below are two statements:
| Assertion (A): | The graph between velocity and displacement for a simple harmonic motion is an ellipse. |
| Reason (R): | Velocity does not change uniformly with displacement in simple harmonic motion. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Â Simple Harmonic Motion |
Level 3: 35%-60%
Hints
Given below are two statements:
| Assertion (A): | Acceleration of a particle in SHM is always zero. |
| Reason (R): | Two SHMs must have the same phase if the amplitude is same. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
Subtopic: Â Simple Harmonic Motion |
 84%
Level 1: 80%+
Hints
Given below are two statements:
| Assertion (A): | In simple harmonic motion, the motion is to and fro and periodic. |
| Reason (R): | In simple harmonic motion, the particle's velocity is given by \(v=\omega \sqrt {A^2-x^2},\) (where \(x\) is the displacement of the particle). |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Â Simple Harmonic Motion |
 85%
Level 1: 80%+
Hints
Match the types of motion in List-I with their corresponding examples in List-II.
Choose the correct option from the given ones:
| List-I | List-II | ||
| (a) | motion with constant speed | (i) | SHM |
| (b) | motion with constant acceleration | (ii) | uniform circular motion |
| (c) | oscillatory motion | (iii) | projectile motion |
| (d) | random motion | (iv) | molecular motion in gas |
| 1. | (a)-(iv), (b)-(ii), (c)-(iii), (d)-(i) |
| 2. | (a)-(i), (b)-(iii), (c)-(ii), (d)-(iv) |
| 3. | (a)-(ii), (b)-(iii), (c)-(i), (d)-(iv) |
| 4. | (a)-(ii), (b)-(iii), (c)-(iv), (d)-(i) |
Subtopic: Â Simple Harmonic Motion |
 92%
Level 1: 80%+
Hints
A particle executes SHM along a straight line.
| 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. |
Subtopic: Â Simple Harmonic Motion |
 76%
Level 2: 60%+
Hints
- 1(current)
Q. No.
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