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Q. No.
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. \(\dfrac{a}{\lambda}\)
Subtopic:  Wave Motion |
 79%
Level 2: 60%+
NEET - 2024
Hints

A wave traveling in the +ve \(x\text-\)direction having maximum displacement along \(y\text-\)direction as \(1~\text{m}\), wavelength \(2\pi~\text{m}\) and frequency of \(\frac{1}{\pi}~\text{Hz}\), is represented by:

1. \(y=\sin (2 \pi x-2 \pi t)\) 2. \(y=\sin (10 \pi x-20 \pi t)\)
3. \(y=\sin (2 \pi x+2 \pi t)\) 4. \( y=\sin (x-2 t)\)
Subtopic:  Wave Motion |
 88%
Level 1: 80%+
AIPMT - 2013
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The equation of a simple harmonic wave is given by \(y=3\sin \frac{\pi}{2}(50t-x)\) where \(x \) and \(y\) are in meters and \(t\) is in seconds. The ratio of maximum particle velocity to the wave velocity is:

1. \(\frac{3\pi}{2}\) 2. \(3\pi\)
3. \(\frac{2\pi}{3}\) 4. \(2\pi\)
Subtopic:  Wave Motion |
 80%
Level 1: 80%+
AIPMT - 2012
Hints
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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.
Subtopic:  Standing Waves |
 67%
Level 2: 60%+
NEET - 2024
Hints
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%
Level 2: 60%+
NEET - 2022
Hints

A uniform rope, of length \(L\) and mass \(m_1,\) hangs vertically from a rigid support. A block of mass \(m_2\) is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda_1\) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is \(\lambda_2.\) The ratio \(\frac{\lambda_2}{\lambda_1}\) is:

1. \(\sqrt{\dfrac{m_1+m_2}{m_2}}\) 2. \(\sqrt{\dfrac{m_2}{m_1}}\)
3. \(\sqrt{\dfrac{m_1+m_2}{m_1}}\) 4. \(\sqrt{\dfrac{m_1}{m_2}}\)
Subtopic:  Travelling Wave on String |
 72%
Level 2: 60%+
NEET - 2016
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A string is stretched between fixed points separated by \(75.0~\text{cm}\). It is observed to have resonant frequencies of \(420~\text{Hz}\) and \(315~\text{Hz}\). There are no other resonant frequencies between these two. The lowest resonant frequency for this string is:
1. \( 155~\text{Hz} \) 2. \( 205~\text{Hz} \)
3. \( 10.5~\text{Hz} \) 4. \( 105~\text{Hz} \)
Subtopic:  Standing Waves |
 81%
Level 1: 80%+
NEET - 2015
Hints
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 |
 75%
Level 2: 60%+
NEET - 2023
Hints
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 |
 65%
Level 2: 60%+
NEET - 2023
Hints
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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. \(512~\text{Hz}\)
Subtopic:  Standing Waves |
 70%
Level 2: 60%+
NEET - 2022
Hints
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