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The two nearest harmonics of a tube closed at one end and open at the other are 220 Hz and 260 Hz. What is the fundamental frequency of the system?

1. 20 Hz
2. 30 Hz
3. 40 Hz
4. 10 Hz

Correct answer: 40 Hz

Solution

For a tube closed at one end, the harmonics are odd multiples of the fundamental frequency (f). The difference between consecutive harmonics is twice the fundamental frequency. Here, 260 Hz - 220 Hz = 40 Hz, so the fundamental frequency is 40 Hz.

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