Question

A guitar string is 90 cm long and has a fundamental frequency of 124 Hz. Where should it be pressed to produce a fundamental frequency of 186 Hz?

Answer 1

Fundamental frequency of oscillation=$\frac{c}{2l}$

where c is some constant and $l$ is the distance between the nodes or the points that are pressed.

Thus $124=\frac{c}{2\left(0.9\right)}$

and $186=\frac{c}{2\left(l^{\prime }\right)}$

$⟹l^{\prime }=0.6m=60cm$