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A string with a mass \(2.50~\text{kg}\) is under a tension of \(200~\text{N}\). The length of the stretched string is \(20.0~\text{m}\). If the transverse jerk is struck at one end of the string, how long does it take for the disturbance to reach the other end?

1. | \(0.5~\text{s}\) | 2. | \(0.6~\text{s}\) |

3. | \(0.4~\text{s}\) | 4. | \(0.1~\text{s}\) |

Subtopic: Travelling Wave on String |

67%

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A stone dropped from the top of a tower of height \(300\) m splashes into the water of a pond near the base of the tower. When is the splash heard at the top?

(Given that the speed of sound in air is \(340\) m/s and \(g=9.8\) m/s^{2})

1. \(7.7\)

2. \(8.7\)

3. \(6.7\)

4. \(7.8\)

Subtopic: Speed of Sound |

64%

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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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The speed of sound in air is:

1. | dependent on pressure. |

2. | decreases with temperature. |

3. | independent of temperature. |

4. | increases with humidity. |

Subtopic: Speed of Sound |

61%

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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 bat emits an ultrasonic sound of frequency \(1000~\text{kHz}\) in the air. If the sound meets a water surface, what is the wavelength of the refracted sound?

(speed of sound in air is \(340~\mathrm{m/s}\) and in water \(1486~\mathrm{m/s}\))

1. | \(3.4 \times 10^{-4} \mathrm{~m} \) | 2. | \(1.4 \times 10^{-3} \mathrm{~m} \) |

3. | \(2.5 \times 10^{-4} \mathrm{~m} \) | 4. | \(1.8 \times 10^{-3} \mathrm{~m}\) |

Subtopic: Speed of Sound |

57%

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A hospital uses an ultrasonic scanner to locate tumors in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is \(1.7~\text{km/s}\)? The operating frequency of the scanner is \(4.2~\text{MHz}\).

1. \(3.0 \times10^{-4}~\text{m}\)

2. \(4.0 \times10^{-4}~\text{m}\)

3. \(3.5 \times10^{-4}~\text{m}\)

4. \(2.0 \times10^{-4}~\text{m}\)

Subtopic: Speed of Sound |

78%

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A transverse harmonic wave on a string is described by, \(y(x,t) = 3.0 ~\sin ( 36t + 0.018x + {\dfrac {\pi} 4})\) where \(x\) and \(y\) are in cm and \(t\) in sec. The positive direction of \(x\) is from left to right. What is the shortest distance between two successive crests in the wave?

1. | \(1.3\) m | 2. | \(3.0\) m |

3. | \(2.5\) m | 4. | \(3.5\) m |

Subtopic: Wave Motion |

67%

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For the travelling harmonic wave, \(y(x,t) = 2.0\ \text{cos}\ 2\pi (10t - 0.0080x + 0.35 )\) where \(x\) and \(y\) are in \(\text{cm}\) and \(t\) is in seconds. The phase difference between the oscillatory motion of two points separated by a distance of \(4~\text{m}\) will be:

1. \(0.8 \pi\ \text{rad}\)

2.\(\pi\ \text{rad}\)

3. \(6.4\pi\ \text{rad}\)

4. \(4\pi\ \text{rad}\)

Subtopic: Wave Motion |

65%

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The transverse displacement of a string (clamped at both ends) is given by;

\(y(x,t)=0.06\sin\Big(\dfrac{2\pi}{3}x\Big)\cos(120\pi t)\)

where \(x\) and \(y\) are in metre and \(t\) in second. The length of the string is \(1.5\) m and its mass is \(3\times10^{-2}\) kg. The tension in the string is:

1. \(540\) N

2. \(648\) N

3. \(200\) N

4. \(425\) N

\(y(x,t)=0.06\sin\Big(\dfrac{2\pi}{3}x\Big)\cos(120\pi t)\)

where \(x\) and \(y\) are in metre and \(t\) in second. The length of the string is \(1.5\) m and its mass is \(3\times10^{-2}\) kg. The tension in the string is:

1. \(540\) N

2. \(648\) N

3. \(200\) N

4. \(425\) N

Subtopic: Speed of Sound |

83%

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