The \(x-t\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2\) s is:
         
1. \(-\frac{\pi^2}{16} \mathrm{~ms}^{-2}\) 2. \(\frac{\pi^2}{8} \mathrm{~ms}^{-2}\)
3. \(-\frac{\pi^2}{8} \mathrm{~ms}^{-2}\) 4. \(\frac{\pi^2}{16} \mathrm{~ms}^{-2}\)
Subtopic:  Simple Harmonic Motion |
 59%
From NCERT
NEET - 2023
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A simple pendulum oscillating in air has a period of \(\sqrt3\) s. If it is completely immersed in non-viscous liquid, having density \(\Big(\frac14\Big)^{th}\) of the material of the bob, the new period will be:
1. \(2\sqrt3\) s
2. \(\frac{2}{\sqrt3}\) s
3. \(2\) s
4. \(\frac{\sqrt 3}{2}\) s
Subtopic:  Angular SHM |
From NCERT
NEET - 2023
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Two pendulums of length \(121\) cm and \(100\) 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 |
 67%
From NCERT
NEET - 2022
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NEET 2023 - Target Batch - Aryan Raj Singh
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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 |
 77%
From NCERT
NEET - 2022
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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 |
 79%
From NCERT
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 |
 64%
From NCERT
NEET - 2022
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Match List-I with List-II:
List-I
(x-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

Choose the correct answer from the options given below:
(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:  Spring mass system |
 82%
From NCERT
NEET - 2022
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If a body is executing simple harmonic motion with frequency 'n', then the frequency of its potential energy is:

1. 3n 2. 4n
3. n 4. 2n
Subtopic:  Energy of SHM |
 68%
From NCERT
NEET - 2021
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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:  Spring mass system |
 66%
From NCERT
NEET - 2021
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The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:
1. \(\frac{3\pi}{2}\text{rad}\)
2. \(\frac{\pi}{2}\text{rad}\)
3. zero
4. \(\pi ~\text{rad}\)

Subtopic:  Simple Harmonic Motion |
 72%
From NCERT
NEET - 2020
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