Question

the tension in the string is changed by 2% what is the change in the transverse wave velocity

Answer 1

Dear Student
velocity of transverse wave in the string will be
$$\begin{gathered} v=\sqrt{\frac{T}{\mu }} \\ nowdifferenciatingbothsidesweget \\ \frac{dv}{v}\times 100=\frac{1}{2}\frac{dT}{T} \\ \%v=\frac{1}{2}\frac{dT}{T}\times 100=\frac{1}{2}\times 2=1\% \end{gathered}$$
Regards