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 |
 59%
Level 3: 35%-60%
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 |
 79%
Level 2: 60%+
AIPMT - 2013
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A wave traveling in the +ve \(x\text-\)direction having maximum displacement along \(y\text-\)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 |
 88%
Level 1: 80%+
AIPMT - 2013
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When a string is divided into three segments of lengths \(l_1\), \(l_2\) and \(l_3\), the fundamental frequencies of these three segments are \(\nu_1\), \(\nu_2\) and \(\nu_3\) respectively. The original fundamental frequency (\(\nu\)) of the string is:

1. \(\sqrt{\nu} = \sqrt{\nu_1}+\sqrt{\nu_2}+\sqrt{\nu_3}\)
2. \(\nu = \nu_1+\nu_2+\nu_3\)
3. \(\dfrac{1}{\nu} =\dfrac{1}{\nu_1} +\dfrac{1}{\nu_2}+\dfrac{1}{\nu_3}\)
4. \(\dfrac{1}{\sqrt{\nu}} =\dfrac{1}{\sqrt{\nu_1}} +\dfrac{1}{\sqrt{\nu_2}}+\dfrac{1}{\sqrt{\nu_3}}\)
Subtopic:  Standing Waves |
 85%
Level 1: 80%+
AIPMT - 2012
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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%
Level 2: 60%+
AIPMT - 2012
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Two waves are represented by the equations \(y_1 = a\sin(\omega t+kx+0.57)~\text{m}\) and 
\(y_2 = a\cos(\omega t+kx)~\text{m},\) where \(x\) is in meters 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 |
 66%
Level 2: 60%+
AIPMT - 2011
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Sound waves travel at \(350\) m/s through warm air and at \(3500\) m/s through brass. The wavelength of a \(700\) Hz acoustic wave as it enters brass from warm air:
1. increase by a factor of \(20\).
2. increase by a factor of \(10\).
3. decrease by a factor of \(20\).
4. decrease by a factor of \(10\)
Subtopic:  Speed of Sound |
 79%
Level 2: 60%+
AIPMT - 2011
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A transverse wave is represented by y = Asin(ωt -kx). At what value of the wavelength is the wave velocity equal to the maximum particle velocity?

1. πA/2

2. πA

3. 2πA

4. A

Subtopic:  Wave Motion |
 85%
Level 1: 80%+
AIPMT - 2010
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A tuning fork of frequency \(512~\text{Hz}\) makes \(4~\text{beats/s}\) with the vibrating string of a piano. The beat frequency decreases to \(2~\text{beats/s}\) when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was:
1. \(510~\text{Hz}\) 
2. \(514~\text{Hz}\) 
3. \(516~\text{Hz}\) 
4. \(508~\text{Hz}\) 

Subtopic:  Beats |
 73%
Level 2: 60%+
AIPMT - 2010
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A wave in a string has an amplitude of \(2\) cm. The wave travels in the positive direction of the \(x\text-\)axis with a speed of \(128~\text{m/s}\) and it is noted that \(5\) complete waves fit in the \(4\) m length of the string. The equation describing the wave is:
1. \(y =(0.02~\text{m})\sin(7.85x+1005t)\)
2. \(y =(0.02~\text{m})\sin(15.7x-2010t)\)
3. \(y =(0.02~\text{m})\sin(15.7x+2010t)\)
4. \(y =(0.02~\text{m})\sin(7.85x-1005t)\)
Subtopic:  Wave Motion |
 75%
Level 2: 60%+
AIPMT - 2009
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