(C) In a resonance tube,the distance between two consecutive resonance positions is equal to half the wavelength of the sound wave,i.e.,$\frac{\lambda

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(C) In a resonance tube,the distance between two consecutive resonance positions is equal to half the wavelength of the sound wave,i.e.,$\frac{\lambda}{2} = l_2 - l_1$.Given $l_1 = 17.0 \, cm$ and $l_2 = 24.5 \, cm$.$\frac{\lambda}{2} = 24.5 \, cm - 17.0 \, cm = 7.5 \, cm$.Therefore,$\lambda = 2 \times 7.5 \, cm = 15.0 \, cm = 0.15 \, m$.The relationship between velocity $(v)$,frequency $(f)$,and wavelength $(\lambda)$ is $v = f \lambda$.Given $v = 330 \, m/s$,we have $330 = f \times 0.15$.$f = \frac{330}{0.15} = \frac{33000}{15} = 2200 \, Hz$.

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

Medium

In a resonance tube experiment,when the tube is filled with water up to a height of $17.0 \, cm$ from the bottom,it resonates with a given tuning fork. When the water level is raised,the next resonance with the same tuning fork occurs at a height of $24.5 \, cm$. If the velocity of sound in air is $330 \, m/s$,the tuning fork frequency is $...... \, Hz$.

JEE MAIN 2020 All JEE MAIN

A
$1100$
B
$3300$
C
$2200$
D
$550$

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Waves and Sound

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Longitudinal Stationary Waves (Organ Pipes) and Resonance Tube

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$A$ closed pipe is suddenly opened and changed to an open pipe of the same length. The fundamental frequency of the resulting open pipe is less than that of the $3^{rd}$ harmonic of the earlier closed pipe by $55 \,Hz$. Then, the value of the fundamental frequency of the closed pipe is: (in $\,Hz$)

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$A$ closed organ pipe of length $L_c$ and an open organ pipe of length $L_o$ contain different gases of densities $\rho_1$ and $\rho_2$ respectively. The compressibility of the gases is the same in both the pipes. The gases are vibrating in their first overtone with the same frequency. What is the length of the open organ pipe?

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If the length of an open organ pipe is $33.3 \,cm$, then the frequency of the fifth overtone is [Neglect end correction, velocity of sound $= 333 \,m/s$]. (in $\,Hz$)

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