Question
A steel wire fixed at both ends has a fundamental frequency of 200Hz. A person can hear sound of maximum frequency 14kHz. What is the highest harmonic that can be played on this string which is audible to the person?
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Answer
Fundamental frequency $\text{f}_1=200\text{Hz}$ Let $l_4$ Hz be nth harmonic$\Rightarrow\frac{\text{F}_2}{\text{F}_1}=\frac{14000}{200}$
$\Rightarrow\frac{\text{NF}_1}{\text{F}_1}=70$
$\Rightarrow\text{N}=70$
$\therefore\ $The highest harmonic audible is $70^{th}$ harmonic
$\Rightarrow\frac{\text{NF}_1}{\text{F}_1}=70$
$\Rightarrow\text{N}=70$
$\therefore\ $The highest harmonic audible is $70^{th}$ harmonic
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