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Q. No.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 |
 81%
From NCERT
AIPMT - 2006
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The displacement of a particle is given by \(y = 5\times 10^{-4}\sin\left(100t-50x\right),\) where \(x\) is in metres and \(t\) is in seconds. The velocity of the wave is:
1. \(5000~\text{m/s}\)
2. \(2~\text{m/s}\)
3. \(0.5~\text{m/s}\)
4. \(300~\text{m/s}\)
1. \(5000~\text{m/s}\)
2. \(2~\text{m/s}\)
3. \(0.5~\text{m/s}\)
4. \(300~\text{m/s}\)
Subtopic: Â Wave Motion |
 89%
From NCERT
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If a wave is travelling in a positive \(x\text-\)direction with \(A= 0.2~\text{m},\) \(v=360~\text{m/s},\) and \(\lambda= 60~\text{m},\) then the correct expression for the wave will be:
| 1. | \({y}=0.2 \sin \left[2 \pi\left(6{t}+\frac{x}{60}\right)\right]\) |
| 2. | \({y}=0.2 \sin \left[ \pi\left(6{t}+\frac{x}{60}\right)\right]\) |
| 3. | \({y}=0.2 \sin \left[2 \pi\left(6{t}-\frac{x}{60}\right)\right]\) |
| 4. | \(y=0.2 \sin \left[ \pi\left(6{t}-\frac{x}{60}\right)\right]\) |
Subtopic: Â Wave Motion |
 86%
From NCERT
AIPMT - 2002
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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. \(\alpha = 12.50\pi, \beta = \frac{\pi}{2.0}\)
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 |
 87%
From NCERT
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If a travelling wave pulse is given by \(y=\frac{20}{4+(x+4 t)^2}~\text{m}\), then:
| 1. | the pulse is traveling along the negative \(x\text-\)axis. |
| 2. | the speed of the pulse is \(4\) m/s. |
| 3. | the amplitude of the pulse is \(5\) m. |
| 4. | all of these. |
Subtopic: Â Wave Motion |
 85%
From NCERT
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Given the equation for a wave on the string, \(y = 0.5\sin(5x-3t)\) where \(y\) and \(x\) are in metres and \(t\) in seconds, the ratio of the maximum speed of particle to the speed of wave is:
| 1. | \(1:1\) | 2. | \(5:2\) |
| 3. | \(3:2\) | 4. | \(4:5\) |
Subtopic: Â Wave Motion |
 83%
From NCERT
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The wave described by \(y = 0.25\sin(10\pi x-2\pi t),\) where \(x\) and \(y\) are in metres and \(t\) in seconds, is a wave traveling along the:
| 1. | \(-\text{ve}~x\) direction with frequency \(1\) Hz. |
| 2. | \(+\text{ve}~x\) direction with frequency \(\pi\) Hz and wavelength \(\lambda = 0.2~\text{m}\). |
| 3. | \(+\text{ve}~x\) direction with frequency \(1\) Hz and wavelength \(\lambda = 0.2~\text{m}\). |
| 4. | \(-\text{ve}~x\) direction with amplitude \(0.25\) m and wavelength \(\lambda = 0.2~\text{m}\). |
Subtopic: Â Wave Motion |
 85%
From NCERT
NEET - 2008
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Two progressive waves are represented by, \(y_1=5\sin(200t-3.14x)\) and
\(y_2=10\sin\left(200t-3.14x+\frac{\pi}{3}\right)\) (\(x\) is in metres, and \(t\) is in seconds). Path difference between the two waves is:
1. \(\frac{100}{\pi}~\text{m}\)
2. \(\frac{1}{3}~\text{m}\)
3. \(3.14\times \frac{\pi}{3}~\text{m}\)
4. \(\frac{\pi^2}{9}~\text{m}\)
\(y_2=10\sin\left(200t-3.14x+\frac{\pi}{3}\right)\) (\(x\) is in metres, and \(t\) is in seconds). Path difference between the two waves is:
1. \(\frac{100}{\pi}~\text{m}\)
2. \(\frac{1}{3}~\text{m}\)
3. \(3.14\times \frac{\pi}{3}~\text{m}\)
4. \(\frac{\pi^2}{9}~\text{m}\)
Subtopic: Â Wave Motion |
 73%
From NCERT
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The phase difference between two waves, represented by
\(y_1= 10^{-6}\sin \left\{100t+\left(\frac{x}{50}\right) +0.5\right\}~\text{m}\)
\(y_2= 10^{-6}\cos \left\{100t+\left(\frac{x}{50}\right) \right\}~\text{m}\)
where \(x\) is expressed in metres and \(t\) is expressed in seconds, is approximate:
1. \(2.07~\text{radians}\)
2. \(0.5~\text{radians}\)
3. \(1.5~\text{radians}\)
4. \(1.07~\text{radians}\)
Subtopic: Â Wave Motion |
 62%
From NCERT
AIPMT - 2004
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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:
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 |
 72%
From NCERT
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