# 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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A wave traveling in the +ve $$x$$-direction having maximum displacement along $$y$$-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 |
86%
From NCERT
AIPMT - 2013
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Two sources of sound placed close to each other, are emitting progressive waves given by,
$$y_1=4\sin 600\pi t$$ and $$y_2=5\sin 608\pi t$$.
${}_{}$An observer located near these two sources of sound will hear:

 1 $$4$$ beats per second with intensity ratio $$25:16$$ between waxing and waning 2 $$8$$ beats per second with intensity ratio $$25:16$$ between waxing and waning 3 $$8$$ beats per second with intensity ratio $$81:1$$ between waxing and waning 4 $$4$$ beats per second with intensity ratio $$81:1$$ between waxing and waning

Subtopic:  Beats |
60%
From NCERT
AIPMT - 2012
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Two waves are represented by the equations ${y}_{1}=a$ $\mathrm{sin}\left(\omega t+kx+0.57\right)$ $m$ and
${y}_{2}=a\mathrm{cos}\left(\omega t+kx\right)$ $m$, where $$x$$ is in metres and $$t$$ in seconds. The phase difference between them is:
1. $$1.25$$ rad
2. $$1.57$$ rad
3. $$0.57$$ rad
4. $$1.0$$ rad

Subtopic:  Wave Motion |
67%
From NCERT
AIPMT - 2011
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Sound waves travel at $$350$$ m/s through warm air and at $$3500$$ m/s through brass. The wavelength of a $$700$$ Hz acoustic wave as it enters brass from warm air:

 1 increase by a factor of $$20$$ 2 increase by a factor of $$10$$ 3 decrease by a factor of $$20$$ 4 decrease by a factor of $$10$$
Subtopic:  Speed of Sound |
77%
From NCERT
AIPMT - 2011
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A transverse wave is represented by y = Asin(ωt -kx). At what value of the wavelength is the wave velocity equal to the maximum particle velocity?

1. $\pi$A/2

2. $\pi$A

3. 2$\pi$A

4. A

Subtopic:  Wave Motion |
84%
From NCERT
AIPMT - 2010
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