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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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If the transverse displacement of a string clamped at both ends is given by y(x,t)=12(cm) sin(6.28x)cos(3.14 t), where x is in cm and t is in seconds, then which of the following is not true?

1. | The velocity of the component wave is 0.5 cm/s. |

2. | The amplitude of one of the component waves is 6 cm. |

3. | The distance between two consecutive nodes is 0.5 cm. |

4. | x= 0.25 cm is the first node except the nodes at the ends. |

Subtopic: Standing Waves |

55%

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Given below are two statements:

Statement I: |
With the displacement wave we can produce a pressure wave. |

Statement II: |
Displacement and pressure waves both are having a phase difference of \(\frac{\pi }{2}\). |

1. | Statement I is incorrect and Statement II is correct. |

2. | Both Statement I and Statement II are correct. |

3. | Both Statement I and Statement II are incorrect. |

4. | Statement I is correct and Statement II is incorrect. |

Subtopic: Pressure Wave in Sound |

81%

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A string of length l is fixed at one end and free at the other. If it resonates in different modes, then the ratio of frequencies is:

1. 1:2:3: ......

2. 1:3:5:7: ......

3. 1:2:4:8: ..........

4. 1:3:9: ........

Subtopic: Standing Waves |

82%

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A sound wave is passed through a chamber.
If the r.m.s. speed of molecules in a gas is v_{1} and the speed of sound is v_{2} in the gas, then:

1. | v_{1} = v_{2} |
2. | v_{1} > v_{2} |

3. | v_{1} < v_{2} |
4. | v_{1} ≤ v_{2} |

Subtopic: Speed of Sound |

64%

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Stationary waves can be obtained in an air column even if interfering waves have different:

1. Amplitude

2. Wavelength

3. Velocity

4. Frequency

Subtopic: Standing Waves |

58%

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*\(y-x\) *graph of a travelling wave along \(+x\)* *direction is shown at any instant *\(t\). *(Symbols have their usual meanings). The velocity of a particle at:

1. | \(x_1\) is downward |

2. | \(x_2\) is downward |

3. | \(x_3\) is upward |

4. | \(x_4\) is downward |

Subtopic: Wave Motion |

54%

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Which one of the following graphs represents correctly the given wave equation at the origin?

$\mathrm{y}=2\sqrt{3}\mathrm{sin}\left(2\mathrm{\pi x}-3\mathrm{\pi t}+\frac{\mathrm{\pi}}{3}\right)$

1. | 2. | ||

3. | 4. |

Subtopic: Wave Motion |

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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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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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