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Q. No.Given below are two statements:
Assertion (A):
Sound travels faster on a hot summer day than on a cold winter day.
Reason (R):
The velocity of sound is directly proportional to the square root of its absolute temperature.
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.
(A) is False but (R) is True.
Subtopic: Â Speed of Sound |
 76%
Level 2: 60%+
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A string of length \(l\) is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is \(2\) mm. The amplitude of a particle at a distance \(l/8\) from the fixed end is:
1. \(2\sqrt2~\text{mm}\)
2. \(4~\text{mm}\)
3. \(\sqrt2~\text{mm}\)
4. \(2\sqrt3~\text{mm}\)
Subtopic: Â Standing Waves |
 55%
Level 3: 35%-60%
NEET - 2022
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Given below are two statements:
| Assertion (A): | The fundamental frequency of an open organ pipe increases as the temperature is increased. |
| Reason (R): | As the temperature increases, the velocity of sound increases more rapidly than the length of the pipe. |
| 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: Â Standing Waves |
 77%
Level 2: 60%+
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The equation of stationary wave along a stretched string is given by; \(y=5 \sin \left ( \dfrac{\pi x}{3} \right ) \cos (40 \pi t)\), where \(x\) and \(y\) are in \(\text{cm}\) and \(t\) in seconds. The separation between two adjacent nodes is:
| 1. | \(1.5~\text{cm}\) | 2. | \(3~\text{cm}\) |
| 3. | \(6~\text{cm}\) | 4. | \(4~\text{cm}\) |
Subtopic: Â Standing Waves |
 81%
Level 1: 80%+
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A tuning fork of frequency \(200~\text{Hz}\) produced \(10\) beats/sec when sounded with a vibrating sonometer wire. If the tension in the wire is slightly increased the number of beats becomes \(9\) beats/sec. What was the original frequency of the vibrating sonometer wire?
1. \(210~\text{Hz}\)
2. \(209~\text{Hz}\)
3. \(191~\text{Hz}\)
4. \(190~\text{Hz}\)
1. \(210~\text{Hz}\)
2. \(209~\text{Hz}\)
3. \(191~\text{Hz}\)
4. \(190~\text{Hz}\)
Subtopic: Â Beats |
 70%
Level 2: 60%+
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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. \(200~\text{m/s}\)
2. \(200 \sqrt 2~\text{m/s}\)
3. \(400~\text{m/s}\)
4. \(400 \sqrt 2~\text{m/s}\)
1. \(200~\text{m/s}\)
2. \(200 \sqrt 2~\text{m/s}\)
3. \(400~\text{m/s}\)
4. \(400 \sqrt 2~\text{m/s}\)
Subtopic: Â Wave Motion |
 92%
Level 1: 80%+
JEE
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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 |
Subtopic: Â Wave Motion |
 88%
Level 1: 80%+
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When sound waves produced under water emerge into the air, then:
| 1. | the frequency increases, and wavelength decreases. |
| 2. | the frequency remains constant, but the wavelength decreases. |
| 3. | the frequency decreases, wavelength remains constant. |
| 4. | the frequency remains constant but the wavelength increases. |
Subtopic: Â Speed of Sound |
Level 3: 35%-60%
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A \(30~\text{cm}\) long pipe, open at both ends resonates with a frequency \(1.1~\text{kHz}.\) The mode of vibration will be:
( the velocity of sound \(=330~\text{m/s}\) )
( the velocity of sound \(=330~\text{m/s}\) )
| 1. | first harmonic |
| 2. | second harmonic |
| 3. | third harmonic |
| 4. | fourth harmonic |
Subtopic: Â Standing Waves |
 83%
Level 1: 80%+
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A point source of sound is placed in a non-absorbing medium. Two points \(A\) and \(B\) are at a distance of \(2~\text m\) and \(3~\text m\) from the source, respectively. The ratio of the intensity of the wave at \(A\) to that at \(B\) is:
1. \(\sqrt 3:\sqrt 2\)
2. \(3:2\)
3. \(9:4\)
4. \(2:3\)
1. \(\sqrt 3:\sqrt 2\)
2. \(3:2\)
3. \(9:4\)
4. \(2:3\)
Subtopic: Â Energy of Waves |
 83%
Level 1: 80%+
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