\(4.0~\text{gm}\) 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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A source of unknown frequency gives \(4\) beats/s when sounded with a source of known frequency of \(250~\text{Hz}\). The second harmonic of the source of unknown frequency gives five beats per second when sounded with a source of frequency of \(513~\text{Hz}\). The unknown frequency will be:

1. \(246~\text{Hz}\) 2. \(240~\text{Hz}\)
3. \(260~\text{Hz}\) 4. \(254~\text{Hz}\)
Subtopic:  Beats |
 77%
From NCERT
AIPMT - 2013
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A wave traveling in the +ve \(x\)-direction having maximum displacement along \(y\)-direction as \(1~\text{m}\), wavelength \(2\pi ~\text{m}\) and frequency of \(\frac{1}{\pi}~\text{Hz}\), is represented by:
1. \(y=\sin (2 \pi x-2 \pi t)\)
2. \(y=\sin (10 \pi x-20 \pi t)\)
3. \(y=\sin (2 \pi x+2 \pi t)\)
4. \( y=\sin (x-2 t)\)

Subtopic:  Wave Motion |
 86%
From NCERT
AIPMT - 2013
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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 |
 60%
From NCERT
AIPMT - 2012
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Two waves are represented by the equations y1=a sin(ωt+kx+0.57) m and
 y2=acos(ωt+kx) m, where \(x\) is in metres and \(t\) in seconds. The phase difference between them is:
1. \(1.25\) rad
2. \(1.57\) rad
3. \(0.57\) rad
4. \(1.0\) rad

Subtopic:  Wave Motion |
 67%
From NCERT
AIPMT - 2011
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