Answer: 0.213m
Explanation: The fundamental frequency is 805Hz.
The second harmonic (first overtone ) is 1035 Hz and the third harmonic (second overtone) is 1265 Hz.
The pipe is an air filled hence it is a closed pipe
Recall that v = f λ
At fundamental frequency
Where v = speed of sound in air (v) = 343 m/s
Fundamental frequency (f) = 805 Hz
Wavelength ( λ) = ?
By substituting the parameters, we have that
343 = 805 × λ
λ = 343 / 805
λ = 0.426m
The pipe is an open one and at the fundamental frequency, hence the relationship between wavelength ( λ) and length of air is given as
L = λ/4
But λ = 0.426m
L = 0.426/2
L = 0.213m
