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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%
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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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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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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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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
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Match List-I with List-II.
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
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:  Energy of SHM |
 86%
Level 1: 80%+
NEET - 2022
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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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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 |
 71%
Level 2: 60%+
NEET - 2021
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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 |
 72%
Level 2: 60%+
NEET - 2021
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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 \(\left(\dfrac14\right)^{\text{th}}\) 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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