Physics - Wave on String Question with Solution | TestHub

$\because$Speed of transverse wave

$v=\sqrt{\frac{\mathrm{S}\mathrm{t}\mathrm{r}\mathrm{e}\mathrm{s}\mathrm{s}}{\mathrm{d}\mathrm{e}\mathrm{n}\mathrm{s}\mathrm{i}\mathrm{t}\mathrm{y}\mathrm{ }\mathrm{o}\mathrm{f}\mathrm{ }\mathrm{w}\mathrm{i}\mathrm{r}\mathrm{e}}}$or$v=\sqrt{\frac{\sigma }{d}}$

According to question, if$\sigma$increases 2 times

then$v_1=\sqrt{\frac{2\sigma }{d}}=\sqrt{2}\sqrt{\frac{\sigma }{d}}=\sqrt{2}v$

Hence, speed of transverse waves along with wire changes by$\sqrt{2}$times.