# 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 |
71%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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
Please attempt this question first.
Hints
Please attempt this question first.

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 |
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Given below are two statements:
 Assertion (A): Water in a $$U\text-$$tube executes SHM. The time period for mercury-filled up to the same height in the $$U\text-$$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 |
52%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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 |
55%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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 |
76%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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 |
80%
From NCERT
AIPMT - 2003
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A particle of mass $$m$$ oscillates with simple harmonic motion between points $$x_1$$ and $$x_2$$, 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%
From NCERT
AIPMT - 2003
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch