A certain pipe has these three natural consecutive harmonics 130.0 Hz, 390.0 Hz, and 650.0 Hz. (a) Is the pipe open or closed? (b) Taking the temperature of the surrounding to be 20.0 Celsius, find the lenngth of the pipe.
(a) Only a closed-ended pipe produces an odd number of harmonics
(b) The speed of sound in air at 20C = 343m/s = v
We need to find the wavelength, λ ......this is given by:
λ = v / f1
λ = 343m/s / 130Hz = about 2.638m
Using the first harmonic, the length of the pipe is 1/4 of this = about 0.66m