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Q. No.

A pipe open at both ends has a fundamental frequency \(f\) in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental of the air column is now equal to: 
1. \(\dfrac{3f}{2}\) 2. \(2f\)
3. \(\dfrac{f}{2}\) 4. \(f\)
Q1:
From NCERT NEET - 2025
Subtopic:  Standing Waves |
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Given below are two statements:
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.
Q2:
 68% From NCERT NEET - 2024
Subtopic:  Standing Waves |
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The displacement of a traveling wave is given by \(y=C\sin\dfrac{2\pi}{\lambda}({at}-x)\) where \(t\) is time, \(x\) is distance and \(\lambda\) is the wavelength, all in SI units. The frequency of the wave is:
1. \(\dfrac{2\pi\lambda}{a}\) 2. \(\dfrac{2\pi a}{\lambda}\)
3. \(\dfrac{\lambda}{a}\) 4. \(\dfrac{a}{\lambda}\)
Q3:
 80% From NCERT NEET - 2024
Subtopic:  Wave Motion |
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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. \(1:3\)
Q4:
 62% From NCERT NEET - 2023
Subtopic:  Standing Waves |
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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. \(7:9\)
Q5:
 75% From NCERT NEET - 2023
Subtopic:  Standing Waves |
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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. \(1:\sqrt{2}\)
Q6:
 71% From NCERT NEET - 2022
Subtopic:  Travelling Wave on String |
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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. \(2\sqrt3~\text{mm}\)

Q7:
 55% From NCERT NEET - 2022
Subtopic:  Standing Waves |
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An organ pipe filled with a gas at \(27^\circ \text{C}\) resonates at \(400~\text{Hz}\) 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. \(420~\text{Hz}\)
2. \(440~\text{Hz}\)
3. \(484~\text{Hz}\)
4. \(512~\text{Hz}\)
Q8:
 70% From NCERT NEET - 2022
Subtopic:  Standing Waves |
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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. \(523~\text{Hz}\)
Q9:
 67% From NCERT NEET - 2020
Subtopic:  Beats |
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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
Q10:
 84% From NCERT NEET - 2020
Subtopic:  Standing Waves |
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