In a resonance tube experiment to determine the speed of sound in air , a pipe of diameter5 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.

In a resonance tube experiment to determine the speed of sound in air

1.	In a resonance tube experiment to determine the speed of sound in air , a pipe of diameter5 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.
Answer» Solution :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`