(C) The wavelength of the sound wave is given by $\lambda = \frac{V}{f} = \frac{340}{340} = 1\,m = 100\,cm$.For a tube closed at one end,resonance occ

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(C) The wavelength of the sound wave is given by $\lambda = \frac{V}{f} = \frac{340}{340} = 1\,m = 100\,cm$.For a tube closed at one end,resonance occurs at lengths $L = \frac{n\lambda}{4}$,where $n = 1, 3, 5, \dots$.The given length $L_1 = 125\,cm$ corresponds to $n = 5$ since $\frac{5 \times 100}{4} = 125\,cm$.The next resonance length occurs at $n = 3$,which is $L_2 = \frac{3 \times 100}{4} = 75\,cm$.The height of water required to change the air column length from $125\,cm$ to $75\,cm$ is $h = 125\,cm - 75\,cm = 50\,cm$.

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

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$A$ tuning fork of frequency $340\,Hz$ resonates in the fundamental mode with an air column of length $125\,cm$ in a cylindrical tube closed at one end. When water is slowly poured in it,the minimum height of water required for observing resonance once again is . . . . . . $cm$. (Velocity of sound in air is $340\,ms^{-1}$)

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Longitudinal Stationary Waves (Organ Pipes) and Resonance Tube

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