# If two successive overtones of a vibrating string are 240 Hz and 320 Hz, what is the frequency of...

## Question:

If two successive overtones of a vibrating string are 240 Hz and 320 Hz, what is the frequency of the fundamental?

## Vibrations. Fundamental Harmonics and Overtones:

Any periodic vibration of the finite system can be characterized by the fundamental frequency of vibration and successive frequencies, called overtones. Any musical sound, as a result of vibration of a guitar or piano string, has main frequency and harmonics describing the "shape" of sound waves, in frequency space.

## Answer and Explanation:

The frequency of the {eq}n^{th} {/eq} overtone of the vibrating string is given by:

{eq}f_n = f_0 n {/eq}

Here

- {eq}f_0 {/eq} is the fundamental...

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