Some of the standing waves in an organ pipe open at both ends have the following frequencies: 100 Hz, 200 Hz, 250 Hz, and 300 Hz. It is also known that there are no standing waves with frequencies between 250 Hz and 300 Hz.

a / What is the fundamental frequency of this pipe?

b / What is the frequency of the third harmonic?

Question

Physics

Raphael Le

23 March, 20:29

Some of the standing waves in an organ pipe open at both ends have the following frequencies: 100 Hz, 200 Hz, 250 Hz, and 300 Hz. It is also known that there are no standing waves with frequencies between 250 Hz and 300 Hz.

a / What is the fundamental frequency of this pipe?

b / What is the frequency of the third harmonic?

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Answers (1)

Know the Answer?

Gaige Esparza · Answer 1

Given there is a standing wave a 200 and 250Hz, and there are none between 250 and 300Hz, we know that the difference in frequency between each harmonic is 50Hz.

Therefore, the fundamental frequency (the lowest that can be achieved), is 50Hz, as it is 0+the difference in frequency between each harmonic.

The third harmonic is 3x50 = 150Hz, as the 1st harmonic is the fundamental frequency, the 2nd is the fundamental frequency plus the difference between each harmonic and so on.