(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 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,

KCET 2007 All KCET

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

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Longitudinal Stationary Waves (Organ Pipes) and Resonance Tube

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For air at room temperature, the atmospheric pressure is $1.0 \times 10^{5} \text{ Nm}^{-2}$ and the density of air is $1.2 \text{ kgm}^{-3}$. For a tube of length $1.0 \text{ m}$, closed at one end, the lowest frequency generated is $84 \text{ Hz}$. The value of $\gamma$ (ratio of two specific heats) for air is:

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An open pipe of length $L_1$ has a fundamental frequency $n_1$,and a closed pipe of length $L_2$ has a fundamental frequency $n_2$. If they are joined to form a single closed pipe of length $L = L_1 + L_2$,what is the fundamental frequency of the combined pipe?

EasyAP EAMCET 2017

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$A$ string fixed at both ends is in resonance in its $2^{nd}$ harmonic with a tuning fork of frequency $f_1$. Now,one end becomes free. If the frequency of the tuning fork is increased slowly from $f_1$,then again a resonance is obtained when the frequency is $f_2$. If in this case the string vibrates in the $n^{th}$ harmonic,then:

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$A$ 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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At $23^{\circ} C$,a pipe open at both ends resonates at a frequency of $450 \,Hz$. At what frequency does the same pipe resonate on a hot day when the speed of sound is $4 \%$ higher than it would be at $23^{\circ} C$ (in $,Hz$)?

DifficultKVPY 2011

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An open pipe of length $L_1$ has a fundamental frequency $n_1$,and a closed pipe of length $L_2$ has a fundamental frequency $n_2$. If they are joined to form a single closed pipe of length $L = L_1 + L_2$,what is the fundamental frequency of the combined pipe?

$A$ 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:

At $23^{\circ} C$,a pipe open at both ends resonates at a frequency of $450 \,Hz$. At what frequency does the same pipe resonate on a hot day when the speed of sound is $4 \%$ higher than it would be at $23^{\circ} C$ (in $,Hz$)?

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