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 rotation of the earth about its axis is:

1. periodic motion.
2. simple harmonic motion.
3. periodic and simple harmonic motion.
4. non-periodic motion.

Subtopic:  Types of Motion |
 83%
From NCERT
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The circular motion of a particle with constant speed is:

1. Periodic and simple harmonic 2. Simple harmonic but not periodic
3. Neither periodic nor simple harmonic 4. Periodic but not simple harmonic
Subtopic:  Types of Motion |
 79%
From NCERT
AIPMT - 2005
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If a particle in SHM has a time period of \(0.1\) s and an amplitude of \(6\) cm, then its maximum velocity will be:
1. \(120 \pi\) cm/s 

2. \(0.6 \pi\) cm/s 

3. \(\pi\) cm/s

4. \(6\) cm/s

Subtopic:  Simple Harmonic Motion |
 91%
From NCERT
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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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Which one of the following statements is true for the speed 'v' and the acceleration 'a' of a particle executing simple harmonic motion?

1. The value of a is zero whatever may be the value of 'v'.
2. When 'v' is zero, a is zero.
3. When 'v' is maximum, a is zero.
4. When 'v' is maximum, a is maximum. 
Subtopic:  Simple Harmonic Motion |
 86%
From NCERT
AIPMT - 2004
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In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of:

1. Spring constant 2. Angular frequency
3. (Angular frequency)2  4. Restoring force
Subtopic:  Simple Harmonic Motion |
 82%
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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