A pipe 30.0 cm long is open at both ends. Which harmonic mode of the pipe resonates with a 1.1kHz source? Will resonance with the same source be observed if one end of the pipe is closed ? Take the speed of sound in air as `330ms^(-1)`.

Explanation

The first harmonic frequency is given by
`v_(1)=(v)/(lambda_(1))=(v)/(2L)" "` (open pipe)
where L is the length of the pipe. The frequency of its nth harmonic is:
`v_(n)=(nv)/(2L)`, for n=1,2,3,…(open pipe)
First few modes of an open pipe are shown in fig. 15.15