A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of \(27^{\circ}\mathrm{C}\), to successive resonances are produced at \(20\) cm and \(73\) cm column length. If the frequency of the tuning fork is \(320\) Hz, the velocity of sound in air at \(27^{\circ}\mathrm{C}\) is:

1. \(330\) m/s 2. \(339\) m/s
3. \(350\) m/s 4. \(300\) m/s

Subtopic:  Speed of Sound |
 72%
From NCERT
NEET - 2018
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The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is \(20~\text{cm}\), the length of the open organ pipe is:
1. \(13.2~\text{cm}\)
2. \(8~\text{cm}\)
3. \(12.5~\text{cm}\)
4. \(16~\text{cm}\)

Subtopic:  Standing Waves |
 62%
From NCERT
NEET - 2018
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An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is \(50\) cm. The next larger length of the column resonating with the same tuning fork will be:

1. \(100\) cm 2. \(150\) cm
3. \(200\) cm 4. \(66.7\) cm
Subtopic:  Standing Waves |
 79%
From NCERT
NEET - 2016
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A uniform rope, of length \(L\) and mass \(m_1\), hangs vertically from a rigid support. A block of mass \(m_2\) is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda_1\) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is \(\lambda_2\). The ratio \(\frac{\lambda_2}{\lambda_1}\) is:
1. \(\sqrt{\frac{m_1+m_2}{m_2}}\)
2. \(\sqrt{\frac{m_2}{m_1}}\)
3. \(\sqrt{\frac{m_1+m_2}{m_1}}\)
4. \(\sqrt{\frac{m_1}{m_2}}\)

Subtopic:  Travelling Wave on String |
 69%
From NCERT
NEET - 2016
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\(4.0~\text{gm}\) of gas occupies \(22.4~\text{litres}\) at NTP. The specific heat capacity of the gas at a constant volume is  \(5.0~\text{JK}^{-1}\text{mol}^{-1}.\) If the speed of sound in the gas at NTP is \(952~\text{ms}^{-1},\) then the molar heat capacity at constant pressure will be:
(\(R=8.31~\text{JK}^{-1}\text{mol}^{-1}\)

1. \(8.0~\text{JK}^{-1}\text{mol}^{-1}\)  2. \(7.5~\text{JK}^{-1}\text{mol}^{-1}\)
3. \(7.0~\text{JK}^{-1}\text{mol}^{-1}\) 4. \(8.5~\text{JK}^{-1}\text{mol}^{-1}\)
Subtopic:  Speed of Sound |
From NCERT
NEET - 2015
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A string is stretched between fixed points separated by \(75.0~\text{cm}\). It is observed to have resonant frequencies of \(420~\text{Hz}\) and \(315~\text{Hz}\). There are no other resonant frequencies between these two. The lowest resonant frequency for this string is:
1. \( 155 \mathrm{~Hz} \)
2. \( 205 \mathrm{~Hz} \)
3. \( 10.5 \mathrm{~Hz} \)
4. \( 105 \mathrm{~Hz}\)

Subtopic:  Standing Waves |
 78%
From NCERT
NEET - 2015
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The fundamental frequency of a closed organ pipe of a length \(20\) cm is equal to the second overtone of an organ pipe open at both ends. The length of the organ pipe open at both ends will be:

1. \(80\) cm 2. \(100\) cm
3. \(120\) cm 4. \(140\) cm
Subtopic:  Standing Waves |
 77%
From NCERT
NEET - 2015
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If \(n_1\), \(n_2\), and \(n_3\) are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency \(n\) of the string is given by:
1. \( \frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}\)
2. \( \frac{1}{\sqrt{n}}=\frac{1}{\sqrt{n_1}}+\frac{1}{\sqrt{n_2}}+\frac{1}{\sqrt{n_3}}\)
3. \( \sqrt{n}=\sqrt{n_1}+\sqrt{n_2}+\sqrt{n_3}\)
4. \( n=n_1+n_2+n_3\)

Subtopic:  Standing Waves |
 77%
From NCERT
AIPMT - 2014
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The number of possible natural oscillations of the air column in a pipe closed at one end of length \(85\) cm whose frequencies lie below \(1250\) Hz are:(velocity of sound= \(340~\text{m/s}\)
1. \(4\)
2. \(5\)
3. \(7\)
4. \(6\)

Subtopic:  Standing Waves |
 68%
From NCERT
AIPMT - 2014
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If we study the vibration of a pipe open at both ends, then which of the following statements is not true:

1. Odd harmonics of the fundamental frequency will be generated.
2. All harmonics of the fundamental frequency will be generated.
3. Pressure change will be maximum at both ends.
4. The open end will be an antinode.
Subtopic:  Standing Waves |
 57%
From NCERT
AIPMT - 2013
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