If the speed of the transverse wave in a wire under certain tension $T$ is $v$, then its speed under

Question

If the speed of the transverse wave in a wire under certain tension $T$ is $v$, then its speed under tension $2 T$ (in $\mathrm{ms}^{-1}$ ) is\

Professor PC Thomas Classes · Answer

(c): Speed of transverse wave, $v \propto \sqrt{T}$.\ $v_{1}=v, T_{1}=T, T_{2}=2 T, v_{2}=$ ?\ $\frac{v_{2}}{v_{1}}=\sqrt{\frac{T_{2}}{T_{1}}}=\sqrt{\frac{2 T}{T}}$\ $v_{2}=\sqrt{2} v$