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Q. No.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: Angular SHM |
54%
Level 3: 35%-60%
NEET - 2023
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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: Simple Harmonic Motion |
66%
Level 2: 60%+
NEET - 2023
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Match List-I with List-II.
Choose the correct answer from the options given below:
| List-I (\(x \text{-}y\) graphs) |
List-II (Situations) |
||
| (a) |  |
(i) | Total mechanical energy is conserved |
| (b) |  |
(ii) | Bob of a pendulum is oscillating under negligible air friction |
| (c) |  |
(iii) | Restoring force of a spring |
| (d) |  |
(iv) | Bob of a pendulum is oscillating along with air friction |
| (a) | (b) | (c) | (d) | |
| 1. | (iv) | (ii) | (iii) | (i) |
| 2. | (iv) | (iii) | (ii) | (i) |
| 3. | (i) | (iv) | (iii) | (ii) |
| 4. | (iii) | (ii) | (i) | (iv) |
Subtopic: Energy of SHM |
86%
Level 1: 80%+
NEET - 2022
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The restoring force of a spring, with a block attached to the free end of the spring, is represented by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Spring mass system |
70%
Level 2: 60%+
NEET - 2022
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: Types of Motion |
83%
Level 1: 80%+
NEET - 2022
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During simple harmonic motion of a body, the energy at the extreme position is:
| 1. | both kinetic and potential |
| 2. | is always zero |
| 3. | purely kinetic |
| 4. | purely potential |
Subtopic: Energy of SHM |
80%
Level 1: 80%+
NEET - 2022
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Two pendulums of length \(121~\text{cm}\) and \(100~\text{cm}\) start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is:
| 1. | \(8\) | 2. | \(11\) |
| 3. | \(9\) | 4. | \(10\) |
Subtopic: Angular SHM |
71%
Level 2: 60%+
NEET - 2022
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Which one of the following statement/s is correct about simple harmonic motion?
1. Simple harmonic motion can take place in a noninertial frame
2. In a noninertial frame the ratio of the force applied with the displacement should be constant
3. Simple harmonic motion can not take place in a noninertial frame
4. Both (2) and (3)
Subtopic: Simple Harmonic Motion |
Level 3: 35%-60%
Please attempt this question first.
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Please attempt this question first.
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: Simple Harmonic Motion |
73%
Level 2: 60%+
NEET - 2024
Hints
If the mass of a bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is \( \dfrac{x}{2}\) times its original time period. The value of \(x\) is:
| 1. | \(\sqrt2\) | 2. | \(2\sqrt3\) |
| 3. | \(4\) | 4. | \(\sqrt3\) |
Subtopic: Angular SHM |
68%
Level 2: 60%+
NEET - 2024
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