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 |
52%
From NCERT
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Identify the function which represents a non-periodic motion?
 1 $$e^{-\omega t}$$ 2 $$\text{sin}\omega t$$ 3 $$\text{sin}\omega t+\text{cos}\omega t$$ 4 $$\text{sin}(\omega t+\pi/4)$$
Subtopic:  Types of Motion |
81%
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 |
From NCERT
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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:
$$x=A+A\text{sin}\omega t\\ y=A-A\text{sin}\omega t$$
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 |
52%
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 |
70%
From NCERT
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The maximum speed and acceleration of a particle undergoing SHM are $$v_0$$ and $$a_0,$$ respectively. The time period of the SHM is:
1. $$\frac{2\pi v_0}{a_0}$$

2. $$\frac{2\pi a_0}{v_0}$$

3. $$\frac{v_0}{a_0}$$

4. $$\frac{2v_0}{a_0}$$

Subtopic:  Simple Harmonic Motion |
79%
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 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 $$\overrightarrow {r_1}$$ , and $$\overrightarrow {r_2};$$ 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 |
From NCERT