# 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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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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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 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 $\mathrm{\alpha }$ and $\mathrm{\beta }$ in appropriate units are:

1. $\mathrm{\alpha }=25.00$ $\mathrm{\pi },$ $\mathrm{\beta }=\mathrm{\pi }$

2. $\mathrm{\alpha }=\frac{0.08}{\mathrm{\pi }},$ $\mathrm{\beta }=\frac{2.0}{\mathrm{\pi }}$

3. $\mathrm{\alpha }=\frac{0.04}{\mathrm{\pi }},$ $\mathrm{\beta }=\frac{1.0}{\mathrm{\pi }}$

4. $\mathrm{\alpha }=12.50$ $\mathrm{\pi },$ $\mathrm{\beta }=\frac{\mathrm{\pi }}{2.0}$

Subtopic:  Wave Motion |
86%
From NCERT
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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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