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Consider a tuning fork which is used to ...

Consider a tuning fork which is used to produce resonance in an air column. A resonance air column is a glass tube whose length can be adjusted by a variable piston. At room temperature, the two successive resonances observed are at 20 cm and 85 cm of the column length. If the frequency of the length is 256 Hz, compute the velocity of the sound in air at room temperature.

Text Solution

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Given two successive length (resonance) to be `L_(1) = 20` cm and `L_(2) = 85` cm
The frequency is f = 265 Hz
`v = f lambda = 2 f Delta L = 2 f (L_(2) - L_(1))`
`= 2 xx 256 xx (85 - 20) xx 10^(-2) ms^(-1)`
` v = 332. 8 m s^(-1)`
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