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 |
From NCERT
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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 |
From NCERT
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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 |
 73%
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 |
 86%
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 |
From NCERT
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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 |
 63%
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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