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 |
 69%
From NCERT
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The speed of sound at a constant temperature depends on:
1. Pressure 2. Density of gas
3. Above both 4. None of the above
Subtopic:  Speed of Sound |
 56%
From NCERT
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If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is: 
1. \(1:2\)
2. \(1:1\)
3. \(\sqrt{2}:1\)
4. \(1:\sqrt{2}\)
Subtopic:  Travelling Wave on String |
 72%
From NCERT
NEET - 2022
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The speed of sound in a medium is \(v.\) If the density of the medium is doubled at constant pressure, what will be the new speed of sound?

1. \(\sqrt{2} v \) 2. \(v \)
3. \(\frac{v}{\sqrt{2}} \) 4. \(2v\)
Subtopic:  Speed of Sound |
 79%
From NCERT
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A string of length \(l\) is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is \(2\) mm. The amplitude of a particle at a distance \(l/8\) from the fixed end is:
        
1. \(2\sqrt2~\text{mm}\)
2. \(4~\text{mm}\)
3. \(\sqrt2~\text{mm}\)
4. \(2\sqrt3~\text{mm}\)

Subtopic:  Standing Waves |
 55%
From NCERT
NEET - 2022
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In an experiment with a sonometer, a tuning fork of frequency \(256~\text{Hz}\) resonates with a length of \(25~\text{cm}\) and another tuning fork resonates with a length of \(16~\text{cm}\). If the tension of the string remains constant, then the frequency of the second tuning fork will be:
1. \(163.84~\text{Hz}\)
2. \(400~\text{Hz}\)
3. \(320~\text{Hz}\)
4. \(204.8~\text{Hz}\)
Subtopic:  Standing Waves |
 76%
From NCERT
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A string of length \(3\) m and a linear mass density of \(0.0025\) kg/m is fixed at both ends. One of its resonance frequencies is \(252\) Hz. The next higher resonance frequency is \(336\) Hz. Then the fundamental frequency will be:
1. \(84~\text{Hz}\)
2. \(63~\text{Hz}\)
3. \(126~\text{Hz}\)
4. \(168~\text{Hz}\)

Subtopic:  Standing Waves |
 78%
From NCERT
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Two sources of sound placed close to each other, are emitting progressive waves given by,
\(y_1=4\sin 600\pi t\) and \(y_2=5\sin 608\pi t\).
An observer located near these two sources of sound will hear:

1. \(4\) beats per second with intensity ratio \(25:16\) between waxing and waning
2. \(8\) beats per second with intensity ratio \(25:16\) between waxing and waning
3. \(8\) beats per second with intensity ratio \(81:1\) between waxing and waning
4. \(4\) beats per second with intensity ratio \(81:1\) between waxing and waning

Subtopic:  Beats |
 63%
From NCERT
AIPMT - 2012
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A string is cut into three parts, having fundamental frequencies \(n_1,n_2,\) and \(n_3\) respectively. The original fundamental frequency \(n\) is related by the expression:
1. \(\frac{1}{n}= \frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}\)
2. \(n= n_1\times n_2\times n_3\)
3. \(n= n_1+ n_2+ n_3\)
4. \(n= \frac{n_1+ n_2+ n_3}{3}\)
Subtopic:  Standing Waves |
 86%
From NCERT
AIPMT - 2000
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The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe \(L\) meter long. The length of the open pipe will be:
1. \(L\)
2. \(2L\)
3. \(\frac{L}{2}\)
4. \(4L\)

Subtopic:  Standing Waves |
 79%
From NCERT
NEET - 2016
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