Which of the following frequencies is/are higher harmonic(s) of a string with fundamental frequency of \(150 Hz\) ?
Explanation
For a stretched string,
\(f_{n}=n f_{1}=\frac{1}{2 l} \sqrt{\frac{T}{\mu}}, n=1,2,3 \ldots\)
so that the frequencies \(f_{1}, 2 f_{1}, 3 f_{1} \ldots\) form a harmonic series.
given, \(f_{1}=150 Hz\)
thus, \(2 f_{1}=2 \times 1500=300 Hz\)
\(3 f_{1}=3 \times 150=450 Hz\) \(4 f_{1}=4 \times 150=600 Hz\)
\(4 f_{1}=4 \times 150=600 H _{2}\)
\(\Longrightarrow\) the only higher harmonic is \(300 Hz\)
