The top string of a guitar has a fundamental frequency of 330 Hz when it is allo

Question

The top string of a guitar has a fundamental frequency of 330 Hz when it is allowed to vibrate as a whole, along all its 63.0 cm length from the neck to the bridge. A fret is provided for limiting vibration to just the lower two-thirds of the string.

(a) If the string is pressed down at this fret and plucked, what is the new fundamental frequency?

____Hz

(b) The guitarist can play a "natural harmonic" by gently touching the string at this fret and plucking the string at about one sixth of its length from the bridge. What frequency will be heard then?____Hz

Explanation / Answer

Part a)

fL(new length) = fL(originallength)

f * (2/3) * 63.0 cm=   330Hz * 63.0 cm

f (new frequency) = 495 Hz ===============Part a) Answer)

Part b) n =3 mode.

.So the frequency will be = 3 * 330 Hz = 990 Hz =====Part b) Answer)

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