Problem 4.167

\(4.167 .\) Find the ratio of the fundamental tone frequencies of two identical strings after one of them was stretched by \(\eta_{1}=2.0 \%\) and the other, by \(\eta_{2}=4.0 \%\). The tension is assumed to be proportional to the elongation.

\frac{v_{2}}{v_{1}}=\sqrt{\frac{\eta_{2}\left(1+\eta_{1}\right)}{\eta_{1}\left(1+\eta_{2}\right)}}=1.4

Elastic Waves. Acoustics.