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.