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In an open-closed vibrating air column, the ratio of the first two overtones to

ID: 2124660 • Letter: I

Question

In an open-closed vibrating air column, the ratio of the first two overtones to the fundamental are:

A.   5 and 7                  B. 3 and 5                    C. 3 and 4                    D. 2 and 3

For an open-closed vibrating air column, like a clarinet, only the odd harmonics are present: the overtones have frequencies equal to 3, 5, 7, 9, 11, ... time the fundamental frequency.

For an open tube, which might be a flute, the frequency of each overtone is an integral multiple of the fundamental frequency, such as 2, 3, 4, 5, 6, 7, 8, .....

In an open-closed vibrating air column, the ratio of the first two overtones to the fundamental are: 5 and 7 3 and 5 3 and 4 2 and 3 For an open-closed vibrating air column, like a clarinet, only the odd harmonics are present: the overtones have frequencies equal to 3, 5, 7, 9, 11, ... time the fundamental frequency. For an open tube, which might be a flute, the frequency of each overtone is an integral multiple of the fundamental frequency, such as 2, 3, 4, 5, 6, 7, 8, .....

Explanation / Answer

B. 3 and 5

For an open-closed vibrating air column, like a clarinet, only the odd harmonics are present: the overtones have frequencies equal to 3, 5, 7, 9, 11, ... time the fundamental frequency.

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