Which one of the following statements is true?

1. Both light and sound waves in the air are transverse.
2. The sound waves in the air are longitudinal while the light waves are transverse.
3. Both light and sound waves in the air are longitudinal.
4. Both light and sound waves can travel in a vacuum.

Subtopic:  Types of Waves |
 81%
From NCERT
AIPMT - 2006
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The mathematical forms for three sinusoidal traveling waves are given by: 
Wave 1 : y(x,t) = (2cm) sin(3x–6t)
Wave 2 : y(x,t) = (3cm) sin(4x–12t)
Wave 3 : y(x,t) = (4cm) sin(5x–11t)
where x is in meters and t is in seconds. Of these waves :

1. Wave 1 has the highest wave speed as well as the maximum transverse string speed.
2. Wave 2 has the highest wave speed, while Wave 1 has the maximum transverse string speed.
3. Wave 3 has the highest wave speed as well as the maximum transverse string speed.
4. Wave 2 has the highest wave speed, while Wave 3 has the maximum transverse string speed.
Subtopic:  Wave Motion |
 71%
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 Hz 

2. 63 Hz

3. 126 Hz 

4. 168 Hz

Subtopic:  Standing Waves |
 76%
From NCERT
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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 |
 77%
From NCERT
AIPMT - 2011
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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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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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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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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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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 |
 78%
From NCERT
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The equation \(y(x,t) = 0.005 ~cos (\alpha x- \beta t)\) describes a wave traveling along the x-axis. If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then α and β in appropriate units are:

1. α=25.00 π, β=π

2. α=0.08π, β=2.0π

3. α=0.04π, β=1.0π

4. α=12.50 π, β=π2.0

Subtopic:  Wave Motion |
 86%
From NCERT
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