The speed of the sound at \(0 ~^\circ\text{C}\) is nearly \(330~\text{m/s}.\) For a frequency of \(200~\text{Hz}\) the wavelength is:
1. \(1.0~\text m\)
2. \(1.5~\text m\)
3. \(1.65~\text m\)
4. \(1.75~\text m\)
Subtopic:  Speed of Sound |
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For a medium, it is given that: Young’s modulus  \(=3.2 \times 10^{10}\) N/m2, density  \(=8000\) kg/m3. What is the speed of sound in this medium?
1. \(1000\) m/s
2. \(2000\) m/s
3. \(500\) m/s
4. \(4000\) m/s
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The temperature at which the velocity of sound in air becomes double its velocity at \(0^\circ \text{C}\) is:

1. \(435^\circ \text{C}\) 2. \(694^\circ \text{C}\)
3. \(781^\circ \text{C}\) 4. \(819^\circ \text{C}\)
Subtopic:  Speed of Sound |
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Speed of sound waves in a fluid depends upon
(a) directly on density of the medium.
(b) square of Bulk modulus of the medium.
(c) inversly on the square root of density.
(d) directly on the square root of bulk modulus of the medium.

Choose the correct option:
1. (a), (c) 2. (a), (b), (c)
3. (b), (d) 4. (c), (d)
Subtopic:  Speed of Sound |
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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 meter and \(t\) in second. The length of the string is \(1.5~\text{m}\) and its mass is \(3\times10^{-2}~\text{kg}.\) The tension in the string is:
1. \(540~\text{N}\) 
2. \(648~\text{N}\) 
3. \(200~\text{N}\) 
4. \(425~\text{N}\)
Subtopic:  Speed of Sound |
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The speed of sound in air at NTP is \(720 ~\text{m/s}.\) If the pressure is increased to \(9\) times the atmospheric pressure, then the speed of sound at the same temperature will be:
1. \(720 ~\text{m/s}\)
2. \(960 ~\text{m/s}\)
3. \(320\sqrt{3} ~\text{m/s}\)
4. \(320 ~\text{m/s}\)

Subtopic:  Speed of Sound |
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The frequency of vibration of a tuning fork is \(400~\text{Hz}.\) If the velocity of sound in air is \(330~\text{m/s},\) then how far the sound has traversed while the tuning fork completes \(40\) vibrations?
1. \(24~\text m \)
2. \(57~\text m \)
3. \(42~\text m \)
4. \(33~\text m \)

Subtopic:  Speed of Sound |
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A tuning fork has a frequency of \(200\) Hz. If the velocity of sound in air is \(330\) m/s, then how far the sound has traversed while the tuning fork completes \(20\) vibrations?

1. \(11~\text{m}\) 2. \(22~\text{m}\)
3. \(33~\text{m}\) 4. \(44~\text{m}\)
Subtopic:  Speed of Sound |
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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 |
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Sound waves of wavelength \(\lambda\) travelling in a medium with a speed of \(v\) m/s enter into another medium where its speed is \(2v\) m/s. Wavelength of sound waves in the second medium is:
1. \(\lambda \)
2. \(\dfrac{\lambda}{2} \)
3. \(2 \lambda \)
4. \(4 \lambda\)
Subtopic:  Speed of Sound |
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