# 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: Â Speed of Sound |
Â 77%
From NCERT
AIPMT - 2011
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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: Â Types of Waves |
Â 81%
From NCERT
AIPMT - 2006
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The mathematical forms for three sinusoidal traveling waves are given by:
Wave $$1$$: $$y(x,t)= (2~\text{cm})\sin(3x-6t)$$
Wave $$2$$: $$y(x,t)= (3~\text{cm})\sin(4x-12t)$$
Wave $$3$$: $$y(x,t)= (4~\text{cm})\sin(5x-11t)$$
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: Â Wave Motion |
Â 72%
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: Â Standing Waves |
Â 76%
From NCERT
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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: Â Beats |
Â 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: Â Standing Waves |
Â 78%
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: Â Travelling Wave on String |
Â 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 $$50~\text{cm}$$. The next larger length of the column resonating with the same tuning fork will be:
 1 $$100~\text{cm}$$ 2 $$150~\text{cm}$$ 3 $$200~\text{cm}$$ 4 $$66.7~\text{cm}$$
Subtopic: Â Standing Waves |
Â 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: Â Speed of Sound |
Â 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 $$x\text-$$axis. If the wavelength and the time period of the wave are $$0.08~\text{m}$$ and $$2.0~\text{s}$$, respectively, then $$\alpha$$ and $$\beta$$ in appropriate units are:
1. $$\alpha = 25.00\pi, \beta = \pi$$
2. $$\alpha = \frac{0.08}{\pi}, \beta = \frac{2.0}{\pi}$$
3. $$\alpha = \frac{0.04}{\pi}, \beta = \frac{1.0}{\pi}$$
4. $$\alpha = 12.50\pi, \beta = \frac{\pi}{2.0}$$
Subtopic: Â Wave Motion |
Â 86%
From NCERT
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