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 |
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From the given functions, identify the function which represents a periodic motion:
1. eωteωt 2. loge(ωt)loge(ωt)
3. sinωt+cosωtsinωt+cosωt 4. eωteωt
Subtopic:  Types of Motion |
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The angular velocities of three bodies in simple harmonic motion are ω1,ω2,ω3ω1,ω2,ω3 with their respective amplitudes as A1,A2,A3. If all the three bodies have the same mass and maximum velocity, then:
1. A1ω1=A2ω2=A3ω3
2. A1ω21=A2ω22=A3ω23
3. A21ω1=A22ω2=A23ω3
4. A21ω21=A22ω22=A2
Subtopic:  Simple Harmonic Motion |
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An SHM has an amplitude a and a time period T. The maximum velocity will be:
1. 4aT       
2. 2aT
3. 2πT
4. 2aπT
Subtopic:  Simple Harmonic Motion |
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The equation of motion of a particle is d2ydt2+Ky=0 where K is a positive constant. The time period of the motion is given by: 
1. 2πK 2. 2πK
3. 2πK 4. 2πK
Subtopic:  Simple Harmonic Motion |
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The displacement versus time curve for a particle executing SHM is shown in the figure. 
    
 
1. The phase of the oscillator is the same at t=0 s and t=2 s.
2. The phase of the oscillator is the same at t=2 s and t=6 s.
3. The phase of the oscillator is the same at t=1 s and t=7 s.
4. The phase of the oscillator is the same at t=1 s and t=5 s.

Choose the correct statement/s.              
1. 1,2 and 4 2. 1 and 3
3. 2 and 4 4. 3 and 4
Subtopic:  Simple Harmonic Motion |
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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 |
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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 |
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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 |
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Two simple harmonic motions of angular frequency 100 rad s1 and 1000 rad s1 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 |
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