Q. No.A sound wave is passing through air column in the form of compression and rarefaction. In consecutive compressions and rarefactions,
1. density remains constant.
2. Boyle’s law is obeyed.
3. bulk modulus of air oscillates.
4. there is no transfer of heat.
1. density remains constant.
2. Boyle’s law is obeyed.
3. bulk modulus of air oscillates.
4. there is no transfer of heat.
Subtopic: Wave Motion |
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A transverse wave travels along the Z-axis. The particles of the medium must move:
| 1. | along the Z-axis | 2. | along the X-axis |
| 3. | along the Y-axis | 4. | in the X-Y plane |
Subtopic: Wave Motion |
83%
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For the travelling harmonic wave, \(y(x,t) = 2.0\cos 2\pi (10t - 0.0080x + 0.35 )\) where \(x\) and \(y\) are in \(\text{cm}\) and \(t\) is in seconds. The phase difference between the oscillatory motion of two points separated by a distance of \(4~\text{m}\) will be:
1. \(0.8 \pi~\text{rad}\)
2. \(\pi~ \text{rad}\)
3. \(6.4\pi~\text{rad}\)
4. \(4\pi~\text{rad}\)
1. \(0.8 \pi~\text{rad}\)
2. \(\pi~ \text{rad}\)
3. \(6.4\pi~\text{rad}\)
4. \(4\pi~\text{rad}\)
Subtopic: Wave Motion |
66%
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During propagation of a plane progressive mechanical wave
Choose the correct option:
1. (a), (c)
2. (a), (b), (c)
3. (b), (c), (d)
4. (c), (d)
| (a) | all the particles are vibrating in the same phase. |
| (b) | amplitude of all the particles is equal. |
| (c) | particles of the medium executes SHM. |
| (d) | wave velocity depends upon the nature of the medium. |
Choose the correct option:
1. (a), (c)
2. (a), (b), (c)
3. (b), (c), (d)
4. (c), (d)
Subtopic: Wave Motion |
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The displacement of a traveling wave \(y=C\sin\dfrac{2\pi}{\lambda}({at}-x)\) where is time, \(x\) is distance and \(\lambda\) is the wavelength, all in S.I. units. Then the frequency of the wave is:
| 1. | \(\dfrac{2\pi\lambda}{a}\) | 2. | \(\dfrac{2\pi a}{\lambda}\) |
| 3. | \(\dfrac{\lambda}{a}\) | 4. | \(\dfrac{a}{\lambda}\) |
Subtopic: Wave Motion |
76%
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In the wave equation, \({y}=0.5 \sin \dfrac{2 \pi}{\lambda}(400 {t}-{x}) ~{\text m},\) the velocity of the wave will be:
1. \(200\) m/s
2. \(200 \sqrt 2\) m/s
3. \(400\) m/s
4. \(400 \sqrt 2\) m/s
1. \(200\) m/s
2. \(200 \sqrt 2\) m/s
3. \(400\) m/s
4. \(400 \sqrt 2\) m/s
Subtopic: Wave Motion |
92%
From NCERT
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A longitudinal wave is represented by \(x = 10 ~\sin ~2 \pi \left( nt- {\dfrac x \lambda}\right)\) cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to:
1. \(2 \pi\) cm
2. \(5 \pi\) cm
3. \(\pi\) cm
4. \({\dfrac {5 \pi} 2}\) cm
1. \(2 \pi\) cm
2. \(5 \pi\) cm
3. \(\pi\) cm
4. \({\dfrac {5 \pi} 2}\) cm
Subtopic: Wave Motion |
88%
From NCERT
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Two plane progressive waves are given by;
\(y_{1} = A \sin \left( at - bx \right) \text{ and } y_{2} = A \cos \left(bx + at + \dfrac{\pi}{6}\right)\),
where \({y_1}\) and \({y_2}\) are the displacement of a medium particle, \({t}\) is time, \({a}\) and \({b}\) are positive constants and other symbols have their usual meaning. Both waves,
1. have the same phase
2. are moving in the same direction
3. have a different wavelength
4. have the same speed
Subtopic: Wave Motion |
75%
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In a travelling wave;
\(y=0.1 \sin \pi\left(x-330 t+\dfrac{2}{3}\right) \) (SI units)
The phase difference between \(x_{1}=3 \) m and \(x_{2}=3.5 \) m is:
\(y=0.1 \sin \pi\left(x-330 t+\dfrac{2}{3}\right) \) (SI units)
The phase difference between \(x_{1}=3 \) m and \(x_{2}=3.5 \) m is:
| 1. | \(\dfrac \pi 2\) | 2. | \(\pi \) |
| 3. | \(\dfrac {3\pi} 2\) | 4. | \(2\pi \) |
Subtopic: Wave Motion |
82%
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A vibrating tuning fork generates a wave given by \(y=0.1\sin\pi\left({0.1x-2t}\right)\), where \(x\) and \(y\) are in metre and \(t\) in second. The distance travelled by the wave while the fork completes \(30\) vibrations is:
1. \(600\) m
2. \(20\) m
3. \(30\) m
4. \(200\) m
1. \(600\) m
2. \(20\) m
3. \(30\) m
4. \(200\) m
Subtopic: Wave Motion |
79%
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