Answer:
[tex]f_{o}[/tex] = 391.67 Hz
Explanation:
The sound of lowest frequency which is produced by a vibrating sting is called its fundamental frequency ([tex]f_{o}[/tex]).
The For a vibrating string, the fundamental frequency ([tex]f_{o}[/tex]) can be determined by:
[tex]f_{o}[/tex] = [tex]\frac{v}{2L}[/tex]
Where v is the speed of waves of the string, and L is the length of the string.
L = 42.0 cm = 0.42 m
v = 329 m/s
[tex]f_{o}[/tex] = [tex]\frac{329}{2*0.42}[/tex]
= [tex]\frac{329}{0.84}[/tex]
[tex]f_{o}[/tex] = 391.6667 Hz
The fundamental frequency of the string is 391.67 Hz.
