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Q. No.The equation of a wave on a string of linear mass density \(0.04~\text{kg m}^{-1}\) is given by:
\(y=(0.02~\text{m})\sin\left[{{2}\pi \left({\frac{t}{{0.04}~(\text{s})}-\frac{x}{{0.50}~(\text{m})}}\right)}\right].\) The tension in the string will be:
1.
\(4.0~\text{N}\)
2.
\(12.5~\text{N}\)
3.
\(0.5~\text{N}\)
4.
\(6.25~\text{N}\)
Subtopic: Â Travelling Wave on String |
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The speed of sound in a gas at temperature \(T\) is \(v_s\) while the RMS speed of its molecules is \(v_r.\) The ratio of specific heats \((C_p/C_v)\) is equal to:
1. \(\sqrt{3}\left(\dfrac{v_s}{v_r}\right )\)
2. \(\dfrac{1}{\sqrt3}\Big(\dfrac{v_s}{v_r}\Big)\)
3. \(3\Big(\dfrac{v_s}{v_r}\Big)^{2}\)
4. \(\dfrac13\Big(\dfrac{v_s}{v_r}\Big)^2\)
1. \(\sqrt{3}\left(\dfrac{v_s}{v_r}\right )\)
2. \(\dfrac{1}{\sqrt3}\Big(\dfrac{v_s}{v_r}\Big)\)
3. \(3\Big(\dfrac{v_s}{v_r}\Big)^{2}\)
4. \(\dfrac13\Big(\dfrac{v_s}{v_r}\Big)^2\)
Subtopic: Â Speed of Sound |
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From NCERT
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If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:
1. \(1:2\)
2. \(1:1\)
3. \(\sqrt{2}:1\)
4. \(1:\sqrt{2}\)
1. \(1:2\)
2. \(1:1\)
3. \(\sqrt{2}:1\)
4. \(1:\sqrt{2}\)
Subtopic: Â Travelling Wave on String |
 72%
From NCERT
NEET - 2022
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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 |
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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%
From NCERT
NEET - 2022
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A uniform rope of mass \(0.1~\text{kg}\) and length \(2.45~\text m\) hangs from the ceiling. The time taken by the transverse wave produced at the bottom of the string to reach the top of the rope is:
(take \(g=9.8~\text{m/s}^2\) )
1. \(1~\text s\)
2. \(1.4~\text s\)
3. \(2~\text s\)
4. \(1.9~\text s\)
(take \(g=9.8~\text{m/s}^2\) )
1. \(1~\text s\)
2. \(1.4~\text s\)
3. \(2~\text s\)
4. \(1.9~\text s\)
Subtopic: Â Travelling Wave on String |
 65%
From NCERT
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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%
From NCERT
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Two identical wires are stretched by the same tension \(100\) N and each emits a node of frequency \(200\) Hz. If the tension in one wire is increased by \(1\) N, then the beat frequency is:
1. \(2\) Hz
2. \(\dfrac12\) Hz
3. \(1\) Hz
4. none of these
Subtopic: Â Beats |
 60%
From NCERT
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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%
From NCERT
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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%
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