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How long does a harp string need to be for the wavelength of vibration (fundamental mode)...

How long does a harp string need to be for the wavelength of vibration (fundamental mode) on the string to be 1.00 m long? The tension in the string is adjusted so that it vibrates at 220. Hz. What is the speed of sound on the string then?

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Answer #1

given, length of wire (L) = 1.00 m

frequency of vibration (f) = 220 Hz

let, v be the speed of sound on the string

now, we know that, f = v / 2L

or, v = 2 L f = 2 x 1 x 220 = 440 m/s

hence, the speed of sound on the string is 440 m/s.

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