Question

A steel wire of length 64 cm weighs 5 g. If it is stretched by a force of 8 N, what would be the speed of a transverse wave passing on it?

Answer 1

Given,
Length of the steel wire = 64 cm
Weight = 5 g
Applied force = 8 N
Thus, we have:
$$\begin{gathered} \mathrm{Mass}\mathrm{per}\mathrm{unit}\mathrm{length}=\frac{5}{64}\mathrm{gm}/\mathrm{cm} \\ \mathrm{Tension},T=8\mathrm{N} \\ =8\times {10}^5\mathrm{dyn} \\ \mathrm{Speed},v=\sqrt{\left(\frac{T}{\mathrm{m}}\right)} \\ =\sqrt{\frac{\left(8\times {10}^5\times 64\right)}{5}} \\ =3200\mathrm{cm}/\mathrm{s}=32\mathrm{m}/\mathrm{s} \end{gathered}$$