Question

A steel wire fixed at both ends has a fundamental frequency of $200$ Hz. A person can hear sound of maximum frequency $15$k Hz. What is the highest harmonic that can be played on this string which is audible to the person?

Answer 1

We know,

In case of,

Wave in string clamped at both ends,

Frequency of $n^{th}$ harmonic$=n{f}_0$

Here,

$n{f}_0\le 15000$

$n\le \frac{15000}{200}=75$

Highest ${75}^{th}$ harmonic can be played and is audible.