Identify the correct definition:

1. If after every certain interval of time, a particle repeats its motion, then the motion is called periodic motion.
2. To and fro motion of a particle is called oscillatory motion.
3. Oscillatory motion described in terms of single sine and cosine functions is called simple harmonic motion.
4. All of the above

Subtopic:  Types of Motion |
 92%
From NCERT
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From the given functions, identify the function which represents a periodic motion:
1. \(e^{\omega t}\)
2. \(log_e(\omega t)\)
3. \(\text{sin}\omega t+ \text{cos}\omega t\)
4. \(e^{-\omega t}\)

Subtopic:  Types of Motion |
 87%
From NCERT
NEET - 2020
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The angular velocities of three bodies in simple harmonic motion are ω1, ω2, ω3 with their respective amplitudes as A1, A2, A3. If all the three bodies have the same mass and maximum velocity, then:

1. \(A_1 \omega_1=A_2 \omega_2=A_3 \omega_3\)
2. \(A_1 \omega_1^2=A_2 \omega_2^2=A_3 \omega_3^2\)
3. \(A_1^2 \omega_1=A_2^2 \omega_2=A_3^2 \omega_3\)
4. \(A_1^2 \omega_1^2=A_2^2 \omega_2^2=A^2\)
Subtopic:  Simple Harmonic Motion |
 91%
From NCERT
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An SHM has an amplitude \(a\) and  a time period \(T.\) The maximum velocity will be:
1. \({4a \over T}\)       
2.  \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)  

Subtopic:  Simple Harmonic Motion |
 91%
From NCERT
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The equation of motion of a particle is \({d^2y \over dt^2}+Ky=0 \) where \(K\) is a positive constant. The time period of the motion is given by: 

1. \(2 \pi \over K\) 2. \(2 \pi K\)
3. \(2 \pi \over \sqrt{K}\) 4. \(2 \pi \sqrt{K}\)
Subtopic:  Simple Harmonic Motion |
 76%
From NCERT
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Displacement versus time curve for a particle executing SHM is shown in the figure. Choose the correct statement/s.

1. Phase of the oscillator is the same at t =0 s and t = 2 s.
2. Phase of the oscillator is the same at t =2 s and t=6 s.
3. Phase of the oscillator is the same at t = 1 s and t=7 s.
4. Phase of the oscillator is the same at t=1 s and t=5 s.

1. 1, 2 and 4 2. 1 and 3
3. 2 and 4 4. 3 and 4
Subtopic:  Simple Harmonic Motion |
 72%
From NCERT
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The velocity-time diagram of a harmonic oscillator is shown in the figure given below. The frequency of oscillation will be:
                

1. 25 Hz
2. 50 Hz
3. 12.25 Hz
4. 33.3 Hz

Subtopic:  Simple Harmonic Motion |
 73%
From NCERT
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If the time of mean position from amplitude (extreme) position is 6 seconds, then the frequency of SHM will be:

1. \(0.01\) Hz 2. \(0.02\) Hz
3. \(0.03\) Hz 4. \(0.04\) Hz
Subtopic:  Simple Harmonic Motion |
 68%
From NCERT
AIPMT - 1998
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The equation of an SHM is given as y=3sinωt + 4cosωt where y is in centimeters. The amplitude of the SHM will be?

1. 3 cm 2. 3.5 cm
3. 4 cm 4. 5 cm
Subtopic:  Linear SHM |
 90%
From NCERT
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Two simple harmonic motions of angular frequency 100 rad s -1 and 1000 rad s-1 have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. 1:10
2. 1:102
3. 1:103                               
4. 1:104

Subtopic:  Linear SHM |
 86%
From NCERT
NEET - 2008
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