Select Chapter Topics:

Identify the correct definition:

1. | If after every certain interval of time, a particle repeats its motion, then the motion is called periodic motion. |

2. | To and fro motion of a particle is called oscillatory motion. |

3. | Oscillatory motion described in terms of single sine and cosine functions is called simple harmonic motion. |

4. | All of the above |

Subtopic: Types of Motion |

92%

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From the given functions, identify the function which represents a periodic motion:

1. \(e^{\omega t}\)

2. \(log_e(\omega t)\)

3. \(\text{sin}\omega t+ \text{cos}\omega t\)

4. \(e^{-\omega t}\)

Subtopic: Types of Motion |

87%

From NCERT

NEET - 2020

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The angular velocities of three bodies in simple harmonic motion are ${\omega}_{1},$ ${\omega}_{2},$ ${\omega}_{3}$ with their respective amplitudes as ${A}_{1},$ ${A}_{2},$ ${A}_{3}$. If all the three bodies have the same mass and maximum velocity, then:

1. | \(A_1 \omega_1=A_2 \omega_2=A_3 \omega_3\) |

2. | \(A_1 \omega_1^2=A_2 \omega_2^2=A_3 \omega_3^2\) |

3. | \(A_1^2 \omega_1=A_2^2 \omega_2=A_3^2 \omega_3\) |

4. | \(A_1^2 \omega_1^2=A_2^2 \omega_2^2=A^2\) |

Subtopic: Simple Harmonic Motion |

91%

From NCERT

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An SHM has an amplitude \(a\) and a time period \(T.\) The maximum velocity will be:

1. \({4a \over T}\)

2. \({2a \over T}\)

3. \({2 \pi \over T}\)

4. \({2a \pi \over T}\)

Subtopic: Simple Harmonic Motion |

91%

From NCERT

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The equation of motion of a particle is \({d^2y \over dt^2}+Ky=0 \) where *\(K\)* is a positive constant. The time period of the motion is given by:

1. | \(2 \pi \over K\) | 2. | \(2 \pi K\) |

3. | \(2 \pi \over \sqrt{K}\) | 4. | \(2 \pi \sqrt{K}\) |

Subtopic: Simple Harmonic Motion |

76%

From NCERT

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Displacement versus time curve for a particle executing SHM is shown in the figure. Choose the correct statement/s.

1. | Phase of the oscillator is the same at t =0 s and t = 2 s. |

2. | Phase of the oscillator is the same at t =2 s and t=6 s. |

3. | Phase of the oscillator is the same at t = 1 s and t=7 s. |

4. | Phase of the oscillator is the same at t=1 s and t=5 s. |

1. | 1, 2 and 4 | 2. | 1 and 3 |

3. | 2 and 4 | 4. | 3 and 4 |

Subtopic: Simple Harmonic Motion |

72%

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The velocity-time diagram of a harmonic oscillator is shown in the figure given below. The frequency of oscillation will be:

1. 25 Hz

2. 50 Hz

3. 12.25 Hz

4. 33.3 Hz

Subtopic: Simple Harmonic Motion |

73%

From NCERT

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If the time of mean position from amplitude (extreme) position is 6 seconds, then the frequency of SHM will be:

1. | \(0.01\) Hz | 2. | \(0.02\) Hz |

3. | \(0.03\) Hz | 4. | \(0.04\) Hz |

Subtopic: Simple Harmonic Motion |

68%

From NCERT

AIPMT - 1998

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The equation of an SHM is given as y=3sinωt + 4cosωt where y is in centimeters. The amplitude of the SHM will be?

1. | 3 cm | 2. | 3.5 cm |

3. | 4 cm | 4. | 5 cm |

Subtopic: Linear SHM |

90%

From NCERT

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Two simple harmonic motions of angular frequency 100 rad s ^{-1} and 1000 rad ${s}^{-1}$ have the same displacement amplitude. The ratio of their maximum acceleration will be:

1. 1:10

2. 1:10^{2}

3. 1:10^{3}

4. 1:10^{4}

Subtopic: Linear SHM |

86%

From NCERT

NEET - 2008

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