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If a travelling wave pulse is given by \(y=\frac{20}{4+(x+4 t)^2}~\text{m}\), then:

1. | the pulse is traveling along the negative x axis. |

2. | the speed of the pulse is \(4\) m/s. |

3. | the amplitude of the pulse is \(5\) m. |

4. | all of these. |

Subtopic: Wave Motion |

85%

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Two wires, A and B, of a musical instrument 'Sitar' produce 3 beats per second. If the tension of *B* is raised, the number of beats becomes 1 beat per second. If the frequency of A is 450 Hz, then the original frequency of B will be:

1. 447 Hz

2. 453 Hz

3. 449 Hz

4. 451 Hz

Subtopic: Beats |

75%

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A cylindrical tube open at both ends has a fundamental frequency *f _{0}* in the air. The tube is dipped vertically in water such that half its length is inside water. The fundamental frequency of the air column now will be:

1. $\frac{3{f}_{\mathit{0}}}{4}$

2. ${f}_{0}$

3. $\frac{{f}_{\mathit{0}}}{2}$

4. 2${f}_{0}$

Subtopic: Standing Waves |

68%

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The maximum possible wavelength in an open organ pipe of length *l* is:

1. | l |
2. | 2l |

3. | 3l |
4. | 4l |

Subtopic: Standing Waves |

69%

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The equation of a stationary wave is given as $\mathrm{y}=\mathrm{A}$ $\mathrm{sin}$ $0.5\mathrm{\pi t}$ $\mathrm{cos}(0.2\mathrm{\pi x}),$ $$ where t is in seconds and x in centimetres. Which of the following is correct?

1. | Wavelength of the component waves is 10 cm. |

2. | The separation between a node and the nearest antinode is 2.5 cm. |

3. | Frequency of the component wave is 0.25 Hz. |

4. | All of these |

Subtopic: Standing Waves |

89%

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The equation of a travelling wave is given as $\mathrm{y}=A\mathrm{sin}(40\mathrm{\pi t}-0.2\mathrm{\pi x})$, where *t *is in seconds and x in metres.
The minimum distance between two particles oscillating in the same phase is:

1. 10 m

2. 5 m

3. 2 m

4. 1.5 m

Subtopic: Wave Motion |

68%

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Two sound waves given by the equations \(y=A\sin 122 \pi t\) and \(y=A\sin 128 \pi t\) pass through a point simultaneously. The number of beats per second is:

1. | \(6\) | 2. | \(5\) |

3. | \(4\) | 4. | \(3\) |

Subtopic: Beats |

82%

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The graph between fundamental frequency (\(f\)) and corresponding tension (\(T\)) in a sonometer wire is best-represented by:

1. | 2. | ||

3. | 4. |

Subtopic: Travelling Wave on String |

51%

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Stationary waves are formed on a stretched string. If the wavelength is $\mathrm{\lambda}$, then the distance between two points having the maximum displacement can be:

1. | 3λ/2 | 2. | 4λ |

3. | 5λ/2 | 4. | All of these |

Subtopic: Standing Waves |

66%

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Given the equation for a wave on the string, y = 0.5 sin(5x - 3t) where y and x are in metres and t in seconds, the ratio of the maximum speed of particle to the speed of wave is:

1. | 1:1 | 2. | 5:2 |

3. | 3:2 | 4. | 4:5 |

Subtopic: Wave Motion |

83%

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