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%
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From the given functions, identify the function which represents a periodic motion:

 1 $$e^{\omega t}$$ 2 $$\text{log}_e(\omega t)$$ 3 $$\text{sin}\omega t+ \text{cos}\omega t$$ 4 $$e^{-\omega t}$$

Subtopic:  Types of Motion |
88%
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%
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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%
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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. $$120 \pi$$$\mathrm{}$ cm/s

2. $$0.6 \pi$$$\mathrm{}$ cm/s

3. $$\pi$$$\mathrm{}$ cm/s

4. $$6$$ cm/s

Subtopic:  Simple Harmonic Motion |
90%
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The angular velocities of three bodies in simple harmonic motion are ${\omega }_{1},$ ${\omega }_{2},$ ${\omega }_{3}$ with their respective amplitudes as ${A}_{1},$ ${A}_{2},$ ${A}_{3}$. 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 |
90%
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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 |
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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 |
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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 |
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