Select Chapter Topics:
Q. No.The two-dimensional motion of a particle, described by \(\vec{r}=(\hat{i}+2\hat{j}) A~\text{cos}(\omega t) \) is a/an:
Choose the correct answer from the options given below:
| (A) | parabolic path |
| (B) | elliptical path |
| (C) | periodic motion |
| (D) | simple harmonic motion |
Choose the correct answer from the options given below:
| 1. | (B), (C), and (D) only |
| 2. | (A), (B), and (C) only |
| 3. | (A), (C), and (D) only |
| 4. | (C) and (D) only |
Subtopic: Â Types of Motion |
 52%
Level 3: 35%-60%
NEET - 2024
Hints
Identify the function which represents a non-periodic motion?
| 1. | \(e^{-\omega t} \) | 2. | \(\text{sin}\omega t\) |
| 3. | \(\text{sin}\omega t+\text{cos}\omega t\) | 4. | \(\text{sin}(\omega t+\pi/4) \) |
Subtopic: Â Types of Motion |
 84%
Level 1: 80%+
NEET - 2022
Hints
From the given functions, identify the function which represents a periodic motion:
| 1. | \(e^{\omega t}\) | 2. | \(\text{log}_e(\omega t)\) |
| 3. | \(\text{sin}\omega t+ \text{cos}\omega t\) | 4. | \(e^{-\omega t}\) |
Subtopic: Â Types of Motion |
 89%
Level 1: 80%+
NEET - 2020
Hints
A particle of mass \(m\) oscillates along the \({x}\text-\)axis according to the equation \(x = a {\sin} \omega t.\) The nature of the graph between momentum and displacement of the particle is:
| 1. | circle |
| 2. | hyperbola |
| 3. | ellipse |
| 4. | a straight line passing through the origin |
Subtopic: Â Types of Motion |
 61%
Level 2: 60%+
NEET - 2013
Hints
If \(T_1,T_2,T_3,T_4\) and \(T_5\) represent the tension in the string of a simple pendulum when the bob is at the left extreme, right extreme, mean, any intermediate left and any intermediate right positions, respectively. Then, which of the following relations are correct?
Choose the most appropriate answer from the options given below:
| (A) | \(T_1=T_2\) | (B) | \(T_3>T_2\) |
| (C) | \(T_4>T_3\) | (D) | \(T_3=T_4\) |
| (E) | \(T_5>T_2\) | ||
| 1. | (A), (B) and (C) only | 2. | (B), (C) and (D) only |
| 3. | (A), (B) and (E) only | 4. | (C), (D) and (E) only |
Subtopic: Â Angular SHM |
 66%
Level 2: 60%+
NEET - 2024
Hints
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 |
 72%
Level 2: 60%+
NEET - 2024
Hints
A simple pendulum oscillating in air has a period of \(\sqrt3\) s. If it is completely immersed in non-viscous liquid, having density \(\left(\dfrac14\right)^{\text{th}}\) of the material of the bob, the new period will be:
| 1. | \(2\sqrt3\) s | 2. | \(\dfrac{2}{\sqrt3}\) s |
| 3. | \(2\) s | 4. | \(\dfrac{\sqrt 3}{2}\) s |
Subtopic: Â Angular SHM |
 54%
Level 3: 35%-60%
NEET - 2023
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
A spring is stretched by \(5~\text{cm}\) by a force \(10~\text{N}\). The time period of the oscillations when a mass of \(2~\text{kg}\) is suspended by it is:
1. \(3.14~\text{s}\)
2. \(0.628~\text{s}\)
3. \(0.0628~\text{s}\)
4. \(6.28~\text{s}\)
Subtopic: Â Spring mass system |
 71%
Level 2: 60%+
NEET - 2021
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
Select Chapter Topics:
© 2026 GoodEd Technologies Pvt. Ltd.