Match the types of motion in List-I with their corresponding examples in List-II.
List-I List-II
(a) motion with constant speed (i) SHM
(b) motion with constant acceleration (ii) uniform circular motion
(c) oscillatory motion (iii) projectile motion
(d) random motion (iv) molecular motion in gas

Codes:
1. a - (iv), b - (ii), c - (iii), d - (i)
2. a - (i), b - (iii), c - (ii), d - (iv)
3. a - (ii), b - (iii), c - (i), d - (iv)
4. a - (ii), b - (iii), c - (iv), d - (i)

Subtopic:  Simple Harmonic Motion |
 91%
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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%
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Given below are two statements: 
Statement I: If the acceleration of a particle is directed towards a fixed point, and proportional to the distance from that point – the motion is SHM.
Statement II: During SHM, the kinetic energy of the particle oscillates at twice the frequency of the SHM.
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:  Energy of SHM |
From NCERT
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Given below are two statements: 
Assertion (A): The graph between velocity and displacement for a simple harmonic motion is an ellipse.
Reason (R): Velocity does not change uniformly with displacement in simple harmonic motion.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Simple Harmonic Motion |
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Given below are two statements: 
Assertion (A): Water in a U-tube executes SHM. The time period for mercury-filled up to the same height in the U-tube is greater than that in the case of water.
Reason (R): The amplitude of an oscillating pendulum goes on increasing.
  
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Simple Harmonic Motion |
From NCERT
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Given below are two statements: 
Assertion (A): If the bob of a simple pendulum is kept in a horizontal electric field, its period of oscillation will remain the same.
Reason (R): If bob is charged and kept in a horizontal electric field, then the time period will be decreased.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Angular SHM |
 57%
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A particle of mass \(m\) oscillates in simple harmonic motion between points \(X_{1}\) and \(X_{2},\) the equilibrium position being \(O.\) Its kinetic energy is correctly represented by which of the following graphs?
1.   2.
3.   4.  
Subtopic:  Energy of SHM |
 75%
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A body oscillates with SHM according to the equation (in SI units), \(x= 5\cos\left[2\pi t +\frac{\pi}{4}\right].\) At \(t = 1.5\) s, acceleration of the body will be:
1. \(140 \text{ cm} / \text{s}^2 \) 2. \(160 \text{ m} / \text{s}^2 \)
3. \(140 \text{ m} / \text{s}^2 \) 4. \(14 \text{ m} / \text{s}^2\)
Subtopic:  Linear SHM |
 58%
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The potential energy of a simple harmonic oscillator, when the particle is halfway to its endpoint, will be:
1. \(\frac{2E}{3}\)
2. \(\frac{E}{8}\)
3. \(\frac{E}{4}\)
4. \(\frac{E}{2}\)

Subtopic:  Energy of SHM |
 79%
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A particle of mass m oscillates with simple harmonic motion between points x1 and x2, the equilibrium position being O. Its potential energy is plotted. It will be as given below in the graph:

1. 2.
3. 4.
Subtopic:  Energy of SHM |
 84%
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