A particle executes linear simple harmonic motion with an amplitude of of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity  is equal to that of its acceleration. Then, its time period in seconds is 

1. 5π

2.52π

3. 4π5

4. 2π3

Subtopic:  Simple Harmonic Motion |
 76%
From NCERT
NEET - 2017
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A body mass m is attached to the lower end of a spring whose upper end is fixed. The spring has neglible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5s. The value of m in kg is-

1. 34               

2. 43

3. 169               

4. 916

Subtopic:  Combination of Springs |
 80%
From NCERT
NEET - 2016
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The damping force on an oscillator is directly proportional to the velocity.The units of the constant of proportionality are 

(1)kg ms-1                               

(2)kg ms-2

(3)kg s-1                                   

(4)kg s

Subtopic:  Damped Oscillations (OLD NCERT) |
 68%
From NCERT
NEET - 2012
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The displacement of a particle along the \(x\text-\)axis is given by \(x= a\sin^2\omega t\). The motion of the particle corresponds to:
1.  simple harmonic motion of frequency \(\frac{\omega}{\pi}\).
2.  simple harmonic motion of frequency \(\frac{3\omega}{2\pi}\).
3.  non-simple harmonic motion.
4.  simple harmonic motion of frequency \(\frac{\omega}{2\pi}\).
Subtopic:  Simple Harmonic Motion |
From NCERT
NEET - 2010
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The period of oscillation of a mass \(M\) suspended from a spring of negligible mass is \(T.\) If along with it another mass \(M\) is also suspended, the period of oscillation will now be:
1. \(T\)
2. \(T/\sqrt{2}\)
3. \(2T\)
4. \(\sqrt{2} T\)

Subtopic:  Linear SHM |
 76%
From NCERT
NEET - 2010
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A body performs simple harmonic motion about \(x=0\) with an amplitude a and a time period \(T\). The speed of the body at \(x= \frac{a}{2}\) will be:
1. \(\frac{\pi a\sqrt{3}}{2T}\)
2. \(\frac{\pi a}{T}\)
3. \(\frac{3\pi^2 a}{T}\)
4. \(\frac{\pi a\sqrt{3}}{T}\)
Subtopic:  Linear SHM |
 77%
From NCERT
NEET - 2009
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Which one of the following equations of motion represents simple harmonic motion? (where \(k,k_0,k_1~\text{and}~a\) are all positive.)
1. Acceleration \(=-k_0x+k_1x^2\)
2. Acceleration \(=-k(x+a)\)
3. Acceleration \(=k(x+a)\)
4. Acceleration \(=kx\)
Subtopic:  Simple Harmonic Motion |
 73%
From NCERT
NEET - 2009
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A spring of force constant \(k\) is cut into lengths of ratio \(1:2:3\). They are connected in series and the new force constant is \(k'\). Then they are connected in parallel and the force constant is \(k''\). Then \(k':k''\) is:
1. \(1:9\)
2. \(1:11\)
3. \(1:14\)
4. \(1:6\)

Subtopic:  Combination of Springs |
 71%
From NCERT
NEET - 2017
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A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s2 at a distance of 5 m from the mean position. The time period of oscillation is:

1. 2π s 2. π s
3. 2 s 4. 1 s
Subtopic:  Angular SHM |
 85%
From NCERT
NEET - 2018
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A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Then its time period of vibration will be:

1. \(\frac {\beta^2}{\alpha^2}\) 2. \(\frac {\beta}{\alpha}\)
3. \(\frac {\beta^2}{\alpha}\) 4. \(\frac {2\pi \beta}{\alpha}\)

Subtopic:  Simple Harmonic Motion |
 84%
From NCERT
NEET - 2015
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