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 |
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Which of the following statements is/are correct.

a. Motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways is transverse and longitudinal, both.
b. Waves produced in a cylinder containing a liquid by moving its piston back and forth is longitudinal.
c. Waves produced by a motorboat sailing in water are transverse and longitudinal, both.
d. Ultrasonic waves in air produced by a vibrating quartz crystal are longitudinal.

1. (a), (b) and (d)
2. (b) and (d)
3. (a), (c) and (d)
4. All are correct

Subtopic:  Types of Motion |
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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 |
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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. \(300~\text{m/s}\)
Subtopic:  Wave Motion |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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