- 1(current)
Q. No.If \(x = 5 \mathrm {sin }\left(\pi t+ {\dfrac {\pi} 3}\right)~\text m\) represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively are:
| 1. | \(5~\text m, 2~\text s\) | 2. | \(5~\text {cm}, 1~\text s\) |
| 3. | \(5~\text m, 1~\text s\) | 4. | \(5~\text {cm}, 2~\text s\) |
Subtopic: Â Simple Harmonic Motion |
 73%
Level 2: 60%+
NEET - 2024
Hints
The displacement-time \((x\text-t)\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2\) s is:
| 1. | \(-\dfrac{\pi^2}{16} ~\text{ms}^{-2}\) | 2. | \(\dfrac{\pi^2}{8}~ \text{ms}^{-2}\) |
| 3. | \(-\dfrac{\pi^2}{8} ~\text{ms}^{-2}\) | 4. | \(\dfrac{\pi^2}{16} ~\text{ms}^{-2}\) |
Subtopic: Â Simple Harmonic Motion |
 67%
Level 2: 60%+
NEET - 2023
Hints
The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:
1. \(\dfrac{3\pi}{2}\text{rad}\)
2. \(\dfrac{\pi}{2}\text{rad}\)
3. zero
4. \(\pi ~\text{rad}\)
Subtopic: Â Simple Harmonic Motion |
 75%
Level 2: 60%+
NEET - 2020
Hints
The displacement of a particle executing simple harmonic motion is given by, \(y = A_{0} + A\sin \omega t+ B \cos\omega t. \)
Then the amplitude of its oscillation is given by:
1. \(A + B\)
2. \(A_{0}+\sqrt{A^{2} + B^{2}} \)
3. \(\sqrt{A^{2} + B^{2}}\)
4. \(\sqrt{A_{0}^{2}+\left( A + B \right)^{2}}\)
Then the amplitude of its oscillation is given by:
1. \(A + B\)
2. \(A_{0}+\sqrt{A^{2} + B^{2}} \)
3. \(\sqrt{A^{2} + B^{2}}\)
4. \(\sqrt{A_{0}^{2}+\left( A + B \right)^{2}}\)
Subtopic: Â Simple Harmonic Motion |
 60%
Level 2: 60%+
NEET - 2019
Hints
The average velocity of a particle executing SHM in one complete vibration is:
1. zero
2. \(\dfrac{A \omega}{2}\)
3. \(A \omega\)
4. \(\dfrac{A \left(\omega\right)^{2}}{2}\)
Subtopic: Â Simple Harmonic Motion |
 73%
Level 2: 60%+
NEET - 2019
Hints
The distance covered by a particle undergoing SHM in one time period is: (amplitude \(= A\))
1. zero
2. \(A\)
3. \(2 A\)
4. \(4 A\)
Subtopic: Â Simple Harmonic Motion |
 77%
Level 2: 60%+
NEET - 2019
Hints
- 1(current)
Q. No.
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