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Waves
Q. No.

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:  Beats |
 60%
From NCERT
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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. \(1.9~\text s\) 
Subtopic:  Travelling Wave on String |
 65%
From NCERT
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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:  Travelling Wave on String |
 78%
From NCERT
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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. \(\dfrac13\Big(\dfrac{v_s}{v_r}\Big)^2\)
Subtopic:  Speed of Sound |
 77%
From NCERT
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A rope of uniform mass per unit length \(\mu\) is suspended from the ceiling, hanging under its own weight. If a small transverse pulse is formed at its lower end \(A\), it travels upward with a local speed \(v=\sqrt {\dfrac{\text{tension}}{\text{mass/length}}}\).
                         
The speed of the pulse is:
1. maximum at \(A,\) minimum at \(O\)
2. minimum at \(A,\) maximum at \(O\)
3. uniform
4. minimum at \(A\) and \(O,\) maximum in the middle
Subtopic:  Travelling Wave on String |
 72%
From NCERT
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Given below are two statements: 
Assertion (A): Sound waves in a gas are pressure waves, but these are also accompanied by changes in local temperature.
Reason (R): Sound waves are propagated in gas through an adiabatic process and hence accompanied by temperature variations.
  
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:  Pressure Wave in Sound |
 83%
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. \(1:\sqrt{2}\)
Subtopic:  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:  Speed of Sound |
 76%
From NCERT
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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:  Standing Waves |
 55%
From NCERT
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:  Standing Waves |
 77%
From NCERT
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