# The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is $$20~\text{cm}$$, the length of the open organ pipe is: 1. $$13.2~\text{cm}$$ 2. $$8~\text{cm}$$ 3. $$12.5~\text{cm}$$ 4. $$16~\text{cm}$$

Subtopic:  Standing Waves |
62%
From NCERT
NEET - 2018
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An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is $$50$$ cm. The next larger length of the column resonating with the same tuning fork will be:

 1 $$100$$ cm 2 $$150$$ cm 3 $$200$$ cm 4 $$66.7$$ cm
Subtopic:  Standing Waves |
79%
From NCERT
NEET - 2016
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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. $$\sqrt{\frac{m_1+m_2}{m_2}}$$
2. $$\sqrt{\frac{m_2}{m_1}}$$
3. $$\sqrt{\frac{m_1+m_2}{m_1}}$$
4. $$\sqrt{\frac{m_1}{m_2}}$$

Subtopic:  Travelling Wave on String |
69%
From NCERT
NEET - 2016
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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 |
From NCERT
NEET - 2015
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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. $$155 \mathrm{~Hz}$$
2. $$205 \mathrm{~Hz}$$
3. $$10.5 \mathrm{~Hz}$$
4. $$105 \mathrm{~Hz}$$

Subtopic:  Standing Waves |
78%
From NCERT
NEET - 2015
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The fundamental frequency of a closed organ pipe of a length $$20$$ cm is equal to the second overtone of an organ pipe open at both ends. The length of the organ pipe open at both ends will be:

 1 $$80$$ cm 2 $$100$$ cm 3 $$120$$ cm 4 $$140$$ cm
Subtopic:  Standing Waves |
77%
From NCERT
NEET - 2015
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If $$n_1$$, $$n_2$$, and $$n_3$$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $$n$$ of the string is given by:
1. $$\frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}$$
2. $$\frac{1}{\sqrt{n}}=\frac{1}{\sqrt{n_1}}+\frac{1}{\sqrt{n_2}}+\frac{1}{\sqrt{n_3}}$$
3. $$\sqrt{n}=\sqrt{n_1}+\sqrt{n_2}+\sqrt{n_3}$$
4. $$n=n_1+n_2+n_3$$

Subtopic:  Standing Waves |
77%
From NCERT
AIPMT - 2014
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The number of possible natural oscillations of the air column in a pipe closed at one end of length $$85$$ cm whose frequencies lie below $$1250$$ Hz are:(velocity of sound= $$340~\text{m/s}$$
1. $$4$$
2. $$5$$
3. $$7$$
4. $$6$$

Subtopic:  Standing Waves |
68%
From NCERT
AIPMT - 2014
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If we study the vibration of a pipe open at both ends, then which of the following statements is not true:

 1 Odd harmonics of the fundamental frequency will be generated. 2 All harmonics of the fundamental frequency will be generated. 3 Pressure change will be maximum at both ends. 4 The open end will be an antinode.
Subtopic:  Standing Waves |
57%
From NCERT
AIPMT - 2013
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A source of unknown frequency gives $$4$$ beats/s when sounded with a source of known frequency of $$250~\text{Hz}$$. The second harmonic of the source of unknown frequency gives five beats per second when sounded with a source of frequency of $$513~\text{Hz}$$. The unknown frequency will be:

 1 $$246~\text{Hz}$$ 2 $$240~\text{Hz}$$ 3 $$260~\text{Hz}$$ 4 $$254~\text{Hz}$$
Subtopic:  Beats |
77%
From NCERT
AIPMT - 2013
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