A particle moves in a circular path with a continuously increasing speed. Its motion is:
1. periodic
2. oscillatory
3. simple harmonic
4. none of them

Subtopic:  Types of Motion |
 53%
From NCERT
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Identify the function which represents a non-periodic motion?
1. eāˆ’Ļ‰t 2. sinĻ‰t
3. sinĻ‰t+cosĻ‰t 4. sin(Ļ‰t+Ļ€/4)
Subtopic:  Types of Motion |
 83%
From NCERT
NEET - 2022
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Trains travel between station A and station B: on the way up (from A to B) - they travel at a speed of 80 km/h, while on the return trip the trains travel at twice that speed. The services are maintained round the clock. Trains leave station A every 30 min for station B and reach B in 2 hrs. All trains operate continuously, without any rest at A or B.

1. the frequency of trains leaving B must be twice as much as A.
2. the frequency of trains leaving B must be half as much as A.
3. the frequency of trains leaving B is equal to that at A.
4. the situation is impossible to maintain unless larger number of trains are provided at A.
Subtopic:  Types of Motion |
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A particle undergoes SHM with an amplitude of 10 cm and a time period of 4 s. The average velocity of the particle during the course of its motion from its mean position to its extreme position is:
1. 5 cm/s
2. 10 cm/s
3. at least 10 cm/s
4. at most 10 cm/s
Subtopic:  Simple Harmonic Motion |
From NCERT
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Two SHMs of the form:
x=A+AsinĻ‰ty=Aāˆ’AsinĻ‰t
are superposed on a particle, along x and y directions. The resultant of these motions is:
1. circular motion
2. SHM along x-axis
3. SHM along y-axis
4. SHM, but along a direction other than x or y-axis
Subtopic:  Simple Harmonic Motion |
 54%
From NCERT
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A particle executes SHM along a straight line.
Statement I: A graph of its acceleration vs displacement (from mean position) is a straight line.
Statement II: A graph of its velocity vs displacement (from mean position) is an ellipse.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Simple Harmonic Motion |
 76%
From NCERT
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The maximum speed and acceleration of a particle undergoing SHM are v0 and a0, respectively. The time period of the SHM is:
1. 2Ļ€v0a0

2. 2Ļ€a0v0

3. v0a0

4. 2v0a0

Subtopic:  Simple Harmonic Motion |
 80%
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 |
 70%
From NCERT
AIPMT - 1998
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The time period of a particle in simple harmonic motion is equal to the time between consecutive appearances of the particle at a particular point in its motion. This point is:

1. the mean position
2. an extreme position
3. between the mean position and the positive extreme
4. between the mean position and the negative extreme
Subtopic:  Simple Harmonic Motion |
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A particle moves in a plane such that its displacements are the sum of two displacements rā†’1, and rā†’2; each of which undergo SHM in opposite phase with respect to the other, but of unequal amplitude. The resultant motion of the particle is:
1. uniform circular motion 
2. elliptical motion
3. linear SHM
4. angular SHM along a circle
Subtopic:  Simple Harmonic Motion |
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