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A transverse wave moves from a medium \(A\) to a medium \(B\). In medium \(A\), the velocity of the transverse wave is \(500~\text{ms}^{-1}\) and the wavelength is \(5~\text{m}\). The frequency and the wavelength of the wave in medium \(B\) when its velocity is \(600~\text{ms}^{-1}\), respectively are:

1. | \(120~\text{Hz}\) and \(5~\text{m}\) | 2. | \(100~\text{Hz}\) and \(5~\text{m}\) |

3. | \(120~\text{Hz}\) and \(5~\text{m}\) | 4. | \(100~\text{Hz}\) and \(6~\text{m}\) |

Subtopic: Speed of Sound |

80%

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A person standing between two parallel hills fires a gun and hears the first echo after ${\mathrm{t}}_{1}$ sec and the second echo after ${\mathrm{t}}_{2}$ sec. The distance between the two hills is: [Given: Speed of sound = v]

$1.$ $\frac{\mathrm{v}\left({\mathrm{t}}_{1}-{\mathrm{t}}_{2}\right)}{2}$

$2.$ $\frac{\mathrm{v}\left({\mathrm{t}}_{1}{\mathrm{t}}_{2}\right)}{2\left({\mathrm{t}}_{1}+{\mathrm{t}}_{2}\right)}$

$3.$ $\mathrm{v}\left({\mathrm{t}}_{1}+{\mathrm{t}}_{2}\right)$

$4.$ $\frac{\mathrm{v}\left({\mathrm{t}}_{1}+{\mathrm{t}}_{2}\right)}{2}$

Subtopic: Speed of Sound |

55%

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A steel wire has a length of \(12.0\) m and a mass of \(2.10\) kg. What should be the tension in the wire so that the speed of a transverse wave on the wire equals the speed of sound in dry air, at \(20^{\circ}\mathrm{C}\) (which is \(343\) m/s)?

1. \(4.3\times10^3\) N

2. \(3.2\times10^4\) N

3. \(2.06\times10^4\) N

4. \(1.2\times10^4\) N

Subtopic: Travelling Wave on String |

74%

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A bat emits an ultrasonic sound of frequency \(1000\) kHz in the air. If the sound meets a water surface, what is the wavelength of the reflected sound? (The speed of sound in air is \(340\) m/sec and in water is \(1486\) m/sec)

1. \(3.4 \times 10^{-4}~\text{m}\)

2. \(1 . 49 \times 10^{- 3} ~ \text{m}\)

3. \(2 . 34 \times 10^{- 2} ~\text{m}\)

4. \(1 . 73 \times10^{- 3} ~\text{m}\)

Subtopic: Speed of Sound |

55%

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A one-meter long tube open at one end, with a movable piston at the other end, shows resonance with a fixed frequency source (a tuning fork of frequency 340 Hz) when the minimum tube length is 25.5 cm. The speed of sound in air at the temperature of the experiment is: (The edge effects may be neglected.)

1. 324.16 m/s

2. 320 m/s

3. 345 m/s

4. 346.8 m/s

Subtopic: Standing Waves |

67%

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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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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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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 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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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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