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 |
 53%
From NCERT
NEET - 2022
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An organ pipe filled with a gas at \(27^\circ \text{C}\) resonates at \(400\) Hz in its fundamental mode. If it is filled with the same gas at \(90^\circ \text{C},\) the resonance frequency at the same mode will be:
1. \(420\) Hz 2. \(440\) Hz
3. \(484\) Hz 4. \(512\) Hz
Subtopic:  Standing Waves |
 66%
From NCERT
NEET - 2022
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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 |
 69%
From NCERT
NEET - 2022
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The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:
1. \(3:1\) 2. \(1:2\)
3. \(2:1\) 4. \(1:3\)
Subtopic:  Standing Waves |
 55%
From NCERT
NEET - 2023
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The \(4^\mathrm{th}\) overtone of a closed organ pipe is the same as that of the \(3^\mathrm{rd}\) overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is:
1. \(8:9\)     2. \(9:7\)    
3. \(9:8\) 4. \(7:9\)
Subtopic:  Standing Waves |
 70%
From NCERT
NEET - 2023
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The length of the string of a musical instrument is \(90\) cm and has a fundamental frequency of \(120\) Hz. Where should it be pressed to produce a fundamental frequency of \(180\) Hz? 

1. \(75\) cm 2. \(60\) cm
3. \(45\) cm 4. \(80\) cm
Subtopic:  Standing Waves |
 82%
From NCERT
NEET - 2020
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Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion (A): A glass tube partially filled with water represents an open organ pipe.
Reason (R): The open end corresponds to an antinode and the end in contact with water, to a node.
In the light of the above statements, choose the correct answer from the options given below:
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True and (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:  Travelling Wave on String |
 60%
From NCERT
NEET - 2024
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The displacement of a traveling wave \(y=C\sin\frac{2\pi}{\lambda}({at}-x)\) where is time, \(x\) is distance and \(\lambda\) is the wavelength, all in S.I. units. Then the frequency of the wave is:
1. \(\frac{2\pi\lambda}{a}\)
2. \(\frac{2\pi a}{\lambda}\)
3. \(\frac{\lambda}{a}\)
4. \(\frac{a}{\lambda}\)
Subtopic:  Wave Motion |
 78%
From NCERT
NEET - 2024
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 In a guitar, two strings \(A\) and \(B\) made of same material are slightly out of tune and produce beats of frequency \(6~\text{Hz}\). When tension in \(B\) is slightly decreased, the beat frequency increases to \(7~\text{Hz}\).  If the frequency of \(A\) is \(530~\text{Hz}\), the original frequency of \(B\) will be:

1. \(524~\text{Hz}\) 2. \(536~\text{Hz}\)
3. \(537~\text{Hz}\) 4. \(523~\text{Hz}\)
Subtopic:  Beats |
 66%
From NCERT
NEET - 2020
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A tuning fork with a frequency of \(800\) Hz produces resonance in a resonance column tube with the upper end open and the lower end closed by the water surface. Successive resonances are observed at lengths of \(9.75\) cm, \(31.25\) cm, and \(52.75\) cm. The speed of the sound in the air is:

1. \(500\) m/s 2. \(156\) m/s
3. \(344\) m/s 4. \(172\) m/s
Subtopic:  Speed of Sound |
 74%
From NCERT
NEET - 2019
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