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 \(340~\text{Hz}\)) when the minimum tube length is \(25.5~\text{cm}\). The speed of sound in air at the temperature of the experiment is: (The edge effects may be neglected.)
1. \(324.16~\text{m/s}\)
2. \(320~\text{m/s}\)
3. \(345~\text{m/s}\)
4. \(346.8~\text{m/s}\)

Subtopic:  Standing Waves |
 68%
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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 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 \(20^{\circ}\text{C}\) (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 |
 75%
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A person standing between two parallel hills fires a gun and hears the first echo after \(t_1\) sec and the second echo after \(t_2\) sec. The distance between the two hills is: [Given: Speed of sound \(=v\)]
1. \(\frac{v(t_1-t_2)}{2}\)
2. \(\frac{v(t_1t_2)}{2(t_1+t_2)}\)
3. \(v(t_1+t_2)\)
4. \(\frac{v(t_1+t_2)}{2}\)
Subtopic:  Speed of Sound |
 55%
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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 \(6~\text{m}\) 4. \(100~\text{Hz}\) and \(6~\text{m}\)
Subtopic:  Speed of Sound |
 80%
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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 \(y =A\sin(0.5\pi t)\cos(0.2\pi x)\) where \(t\) is in seconds and \(x\) in centimetres. Which of the following is correct?
1. Wavelength of the component waves is \(10~\text{cm}.\)
2. The separation between a node and the nearest antinode is \(2.5~\text{cm}.\)
3. Frequency of the component wave is \(0.25~\text{Hz}\).
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. \(\frac{3f_0}{4}\)
2. \(f_0\)
3. \(\frac{f_0}{2}\)
4. \(2f_0\)
Subtopic:  Standing Waves |
 68%
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