In a resonance tube experiment to 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 minimum length of air column in `16 cm` . Find the speed of sound in air at room temperature.

Explanation

Fundamental frequency of air column closed at one end is
`n = (v)/( 4(l + e)) = (v)/( 4(l + 0.3 D))`
Given ` n = 480 Hz , D = 5 cm = 5 xx 10^(-2) m`
`l = 16 cm = 16 xx 10^(-2) m`
`v = 4 n( l + 0.3 D)`
`= 4 xx 480 [ 16 xx 10^(-2) + 0.3 xx 5 xx 10^(-2)] m//s`
`= 4 xx 480 xx 17.5 xx 10^(-2) m//s = 336 m//s`