In a resonance tube experiment t determine the speed of sound in air, a pipe of diameter `5 cm` is used. The air column in pipe resonates with a tuning fork of frequency `480 Hz` when the minimum length of the air column is `16 cm`. If the speed of sound in air at room temperature `= 6eta` (in `m//sec`). Find `eta`

Answer

336

Explanation

Fundamental frequency of air column closed at one ends is `n=(v)/(4(1+e))=(v)/(4(1+0.3D))`
Given `n=480 Hz,D=5cm=5xx10^(-2)m`
`1=16cm=16xx10^(-2)m`
`v=4n(1+0.3D)`
`=4xx480[16xx10^(-2)+0.3xx5xx10^(-2)] m//s`
`=4xx480xx17.5xx10^(-2) m//s=336 m//s`