(A) For an open organ pipe of length $l$,the fundamental frequency is given by $f = \frac{v}{2l}$,where $v$ is the speed of sound in air.When the tube

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(A) For an open organ pipe of length $l$,the fundamental frequency is given by $f = \frac{v}{2l}$,where $v$ is the speed of sound in air.When the tube is placed vertically in water such that half its length is submerged,it acts as a closed organ pipe of length $l' = \frac{l}{2}$.The fundamental frequency of a closed organ pipe is given by $f' = \frac{v}{4l'}$.Substituting $l' = \frac{l}{2}$ into the expression for $f'$,we get:$f' = \frac{v}{4(l/2)} = \frac{v}{2l}$.Comparing this with the initial frequency $f = \frac{v}{2l}$,we find that $f' = f$.

Class 11 Physics Waves and Sound Longitudinal Stationary Waves (Organ Pipes) and Resonance Tube

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$A$ glass tube is open at both ends. $A$ tuning fork of frequency $f$ resonates with the air column inside the tube. Now,the tube is placed vertically inside water so that half the length of the tube is filled with water. Now,the air column inside the tube is in unison with another fork of frequency $f^{\prime}$. Then,

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A
$f^{\prime} = f$
B
$f^{\prime} = 4f$
C
$f^{\prime} = 2f$
D
$f^{\prime} = \frac{f}{2}$

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Class 11

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Waves and Sound

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Longitudinal Stationary Waves (Organ Pipes) and Resonance Tube

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In a closed organ pipe of length $105 \,cm$,standing waves are set up corresponding to the third overtone. What is the distance from the closed end where a pressure node is formed? (in $cm$)

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$A$ pipe $30 \ cm$ long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a $1.1 \ kHz$ source? (Take speed of sound in air = $330 \ ms^{-1}$)

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The vibrations of four air columns under identical conditions are represented in the figure below. The ratio of frequencies $n_p: n_q: n_r: n_s$ will be

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In the resonance experiment,two air columns (closed at one end) of $100 \ cm$ and $120 \ cm$ long,give $15$ beats per second when each one is sounding in the respective fundamental modes. The velocity of sound in the air column is $:$ (in $m/s$)

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For a certain organ pipe,three successive resonance frequencies are observed at $425 \, Hz$,$595 \, Hz$,and $765 \, Hz$ respectively. If the speed of sound in air is $340 \, m/s$,then the length of the pipe is ..... $m$.

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In a closed organ pipe of length $105 \,cm$,standing waves are set up corresponding to the third overtone. What is the distance from the closed end where a pressure node is formed? (in $cm$)

$A$ pipe $30 \ cm$ long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a $1.1 \ kHz$ source? (Take speed of sound in air = $330 \ ms^{-1}$)

The vibrations of four air columns under identical conditions are represented in the figure below. The ratio of frequencies $n_p: n_q: n_r: n_s$ will be

In the resonance experiment,two air columns (closed at one end) of $100 \ cm$ and $120 \ cm$ long,give $15$ beats per second when each one is sounding in the respective fundamental modes. The velocity of sound in the air column is $:$ (in $m/s$)

For a certain organ pipe,three successive resonance frequencies are observed at $425 \, Hz$,$595 \, Hz$,and $765 \, Hz$ respectively. If the speed of sound in air is $340 \, m/s$,then the length of the pipe is ..... $m$.

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