A steel wire with mass per unit length $7.0 \times {10}^{–3} \mathrm{kg} {\mathrm{m}}^{–1}$ is under tension of $70 \mathrm{N}$. The speed of transverse waves in the wire will be:

The formula to calculate the speed $\left(v\right)$ of the transverse wave generated in a stretched string is given by

$v= \sqrt{\frac{T}{\mu }}............................\left(1\right)$

where, $T$ is the tension in the string and $\mu$ is the mass density.

Therefore, required speed of the wave:

$\begin{array}{rcl}v& =& \sqrt{\frac{70 \mathrm{N}}{7\times {10}^{-3} \mathrm{kg} {\mathrm{m}}^{-1}}} \\ & =& 100 \mathrm{m}/\mathrm{s}\end{array}$