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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 |

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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. | \(\sqrt{A^2+B^2}\). | simple harmonic with amplitude

Subtopic: Simple Harmonic Motion |

91%

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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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