Physics - Wave on String Question with Solution | TestHub

Two vibrating strings of the same material but length$\mathrm{L}$and$2\mathrm{L}$have radii$2\mathrm{r}$and$\mathrm{r}$respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length$\mathrm{L}$with frequency${\mathrm{\upsilon }}_1$and the other with frequency${\mathrm{\upsilon }}_2$. The ratio$\frac{{\mathrm{\upsilon }}_1}{{\mathrm{\upsilon }}_2}$is given by