(A) For a resonance column (closed at one end),the resonance lengths are given by:$l_1 + e = \frac{\lambda}{4}$$l_2 + e = \frac{3\lambda}{4}$where $e$

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(A) For a resonance column (closed at one end),the resonance lengths are given by:$l_1 + e = \frac{\lambda}{4}$$l_2 + e = \frac{3\lambda}{4}$where $e$ is the end correction.From the first equation,$\frac{\lambda}{4} = l_1 + e$.Substituting this into the second equation:$l_2 + e = 3(l_1 + e)$$l_2 + e = 3l_1 + 3e$$l_2 = 3l_1 + 2e$Since the end correction $e$ is always positive $(e > 0)$,it follows that $l_2 > 3l_1$.

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

Medium

In a resonance column lab experiment to measure the velocity of sound,the first resonance is obtained at a length $l_1$ and the second resonance at a length $l_2$. Then-

A
$l_2 > 3l_1$
B
$l_2 = 3l_1$
C
$l_2 < 3l_1$
D
may be any of the above,depending on the frequency of the tuning fork used.

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Waves and Sound

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Longitudinal Stationary Waves (Organ Pipes) and Resonance Tube

$A$ closed and an open organ pipe have the same lengths. If the ratio of the frequencies of their seventh overtones is $\left(\frac{a-1}{a}\right)$,then the value of $a$ is:

DifficultJEE MAIN 2024

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$A$ closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has

MediumAIPMT 1991

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$A$ cylindrical tube $(L = 120\,cm)$ is resonant with a tuning fork of frequency $330\,Hz$. If it is being filled with water,what is the minimum length of the water column required to achieve resonance? (Speed of sound in air $V_{air} = 330\,m/s$)

Medium

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In an open organ pipe,if the fundamental frequency is $n$,then the other frequencies are:

Easy

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The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is $20 \, cm$,the length of the open organ pipe is ........ $cm$.

MediumJEE MAIN 2022

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In a resonance column lab experiment to measure the velocity of sound,the first resonance is obtained at a length $l_1$ and the second resonance at a length $l_2$. Then-

Similar Questions

$A$ closed and an open organ pipe have the same lengths. If the ratio of the frequencies of their seventh overtones is $\left(\frac{a-1}{a}\right)$,then the value of $a$ is:

$A$ closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has

$A$ cylindrical tube $(L = 120\,cm)$ is resonant with a tuning fork of frequency $330\,Hz$. If it is being filled with water,what is the minimum length of the water column required to achieve resonance? (Speed of sound in air $V_{air} = 330\,m/s$)

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The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is $20 \, cm$,the length of the open organ pipe is ........ $cm$.

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