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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Given below are two statements: 
Assertion (A): Ocean waves hitting a beach are always found to be nearly normal to the shore.
Reason (R): Ocean waves are longitudinal waves.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Types of Waves |
 52%
From NCERT
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The displacement of a particle is given by \(y = 5\times 10^{-4}\sin(100t-50x),\) 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. \(300~\text{m/s}\)
Subtopic:  Wave Motion |
 89%
From NCERT
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A tuning fork makes \(256\) vibrations per second in air. When the velocity of sound is \(330\) m/s, then the wavelength of the tone emitted is:
1. \(0.56\) m
2. \(0.89\) m
3. \(1.11\) m
4. \(1.29\) m
Subtopic:  Wave Motion |
 86%
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:  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:  Wave Motion |
 85%
From NCERT
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The equation of a progressive wave is given by \(y = 4\sin\left\{ \pi\left(\frac{t}{5}-\frac{x}{9}\right)+\frac{\pi}{6}\right\}\), where \(x\) and \(y\) are in metres and \(t\) in seconds.
Which of the following is correct​​​​?
1. \(v = 5~\text{m/s}\)
2. \(\lambda = 18~\text{m}\)
3. \(A = 0.04~\text{m}\)
4. \(\nu= 50~\text{Hz}\)
Subtopic:  Wave Motion |
 85%
From NCERT
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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 |
 86%
From NCERT
AIPMT - 2013
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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:  Wave Motion |
 86%
From NCERT
AIPMT - 2002
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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:  Wave Motion |
 84%
From NCERT
NEET - 2008
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