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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 |
 80%
Level 1: 80%+
NEET - 2024
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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 |
 79%
Level 2: 60%+
AIPMT - 2012
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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 |
 71%
Level 2: 60%+
NEET - 2022
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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 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%
Level 2: 60%+
NEET - 2019
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A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of \(27^{\circ}\text{C}\), to successive resonances are produced at \(20\) cm and \(73\) cm column length. If the frequency of the tuning fork is \(320\) Hz, the velocity of sound in air at \(27^{\circ}\text{C}\) is:
1. \(330\) m/s 2. \(339\) m/s
3. \(350\) m/s 4. \(300\) m/s
Subtopic:  Speed of Sound |
 73%
Level 2: 60%+
NEET - 2018
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\(4.0~\text{gm}\) of gas occupies \(22.4~\text{litres}\) at NTP. The specific heat capacity of the gas at a constant volume is  \(5.0~\text{JK}^{-1}\text{mol}^{-1}.\) If the speed of sound in the gas at NTP is \(952~\text{ms}^{-1},\) then the molar heat capacity at constant pressure will be:
(\(R=8.31~\text{JK}^{-1}\text{mol}^{-1}\)) 

1. \(8.0~\text{JK}^{-1}\text{mol}^{-1}\)  2. \(7.5~\text{JK}^{-1}\text{mol}^{-1}\)
3. \(7.0~\text{JK}^{-1}\text{mol}^{-1}\) 4. \(8.5~\text{JK}^{-1}\text{mol}^{-1}\)
Subtopic:  Speed of Sound |
Level 3: 35%-60%
NEET - 2015
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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. \(f\)
Subtopic:  Standing Waves |
 51%
Level 3: 35%-60%
NEET - 2025
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Please attempt this question first.
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 |
 68%
Level 2: 60%+
NEET - 2024
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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 |
 75%
Level 2: 60%+
NEET - 2023
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