A student says that he had applied a force $$=-k\sqrt x$$ on a particle and the particle moved in simple harmonic motion. He refuses to tell whether k is a constant or not. Assume that he has worked only with positive x and no other force acted on the particle.

1. As x increases k increases

2. As x increases k decreases

3. As x increases k remains constant

4. The motion cannot be simple harmonic

Subtopic:  Simple Harmonic Motion |
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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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The time period of a particle in simple harmonic motion is equal to the smallest time between the particle acquiring a particular velocity $$\vec v$$. The value of v is

1. $$v_{max}$$

2. 0

3. between 0 and $$v_{max}$$

4. between 0 and $$-v_{max}$$

Subtopic:  Simple Harmonic Motion |
From NCERT
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The displacement of a particle in simple harmonic motion in one time period is:
1. $$A$$
2. $$2A$$
3. $$4A$$
4. zero

Subtopic:  Simple Harmonic Motion |
74%
From NCERT
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The distance moved by a particle in simple harmonic motion in one time period is.
1. $$A$$
2. $$2A$$
3. $$4A$$
4. zero

Subtopic:  Simple Harmonic Motion |
84%
From NCERT
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The average acceleration in one time period in a simple harmonic motion is:
1. $$A\omega^{2}$$
2. $$A\omega^{2}/2$$
3. $$A\omega^{2}/ \sqrt{2}$$
4. zero

Subtopic:  Simple Harmonic Motion |
66%
From NCERT
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The motion of a particle is given by $$x=A\sin\omega t+B\cos\omega t$$. The motion of the particle is:

 1 not simple harmonic. 2 simple harmonic with amplitude $$A+B$$. 3 simple harmonic with amplitude $$(A+B)/2$$. 4 simple harmonic with amplitude $$\sqrt{A^2+B^2}$$.

Subtopic:  Simple Harmonic Motion |
91%
From NCERT
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The displacement of a particle is given by $$\vec{r}=A(\vec{i} \cos \omega t+\vec{j} \sin \omega t)$$. The motion of the particle is

1. simple harmonic

2. on a straight line

3. on a circle

4. with constant acceleration

Subtopic:  Simple Harmonic Motion |
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A particle moves on the X-axis according to the equation x = A + B sinωt. The motion is simple harmonic with amplitude

1. A

2. B

3. A + B

4. $$\sqrt{A^2+B^2}$$

Subtopic:  Simple Harmonic Motion |
62%
From NCERT
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The figure represents two simple harmonic motions.

The parameter which has different values in the two motions is:
1. amplitude
2. frequency
3. phase
4. maximum velocity

Subtopic:  Simple Harmonic Motion |
78%
From NCERT
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