The top string of a guitar has afundamental frequency of 310 Hz when it isallowe

Question

     The top string of a guitar has afundamental frequency of 310 Hz when it isallowed to vibrate as a whole, along all its 66.0 cm length from the neck to the bridge. A fret isprovided for limiting vibration to just the lower two thirds of thestring.
(a) If the string is pressed down at this fret and plucked, what isthe new fundemental frenquency?
1 Hz

(b) The guitarist can play a "natural harmonic" by gently touchingthe string at the location of this fret and plucking the string atabout one sixth of the way along its length ftom the bridge. Whatfrequency will be heard then?
2 Hz
(a) If the string is pressed down at this fret and plucked, what isthe new fundemental frenquency?
1 Hz

(b) The guitarist can play a "natural harmonic" by gently touchingthe string at the location of this fret and plucking the string atabout one sixth of the way along its length ftom the bridge. Whatfrequency will be heard then?
2 Hz

Explanation / Answer

n=1/2lT/m n=310Hz l=66cm from this findout T/m new length=2/3*66=44cm now findout the new frequency. part b the length=1/6*44=22/3cm also findout this frequency.

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