Question

Which frequency would be the third harmonic in a series for an open-pipe resonator if the fundamental is 440 Hz?1) 3080 Hz2) 2200 Hz3) 1320 Hz4) 660 Hz

Answer 1

ANSWER

$3)1320Hz$

EXPLANATION

To find the frequency of the third harmonic for an open-ended pipe, we apply the formula for the frequency of harmonics for open-ended pipes:

$f=nf_o$

where fo = fundamental frequency; n = nth harmonic

Therefore, the frequency of the third harmonic is:

$\begin{gathered} f=3\cdot440 \\ f=1320Hz \end{gathered}$

The answer is the 3rd option.