Question

a wave pulse is travelling on a string of linear mass density 1.0 g/cm under a tension of 10N. Calculate time taken by the pulse to travel a distance of 50cm on the string

Answer 1

Given linear mass density , $$\begin{gathered} \mathit{\mu }\mathbf{}\mathbf{=}\mathbf{}\mathbf{1}\mathbf{}\mathit{g}\mathbf{/}\mathit{c}\mathit{m} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{\Rightarrow }\mathbf{}\mathit{\mu }\mathbf{}\mathbf{}\mathbf{=}\mathbf{}\mathbf{0}\mathbf{.}\mathbf{1}\mathbf{}\mathit{k}\mathit{g}\mathbf{/}\mathit{m} \\ \mathit{T}\mathit{e}\mathit{n}\mathit{s}\mathit{i}\mathit{o}\mathit{n}\mathbf{}\mathbf{,}\mathbf{}\mathit{T}\mathbf{}\mathbf{}\mathbf{=}\mathbf{}\mathbf{}\mathbf{10}\mathit{N}\mathbf{} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathit{V}\mathbf{}\mathbf{=}\sqrt{\mathbf{}\frac{\mathbf{T}}{\mathbf{\mu }\mathbf{}}}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\sqrt{\frac{\mathbf{10}}{\mathbf{0}\mathbf{.}\mathbf{1}}}\mathbf{}\mathbf{}\mathbf{=}\mathbf{}\mathbf{10}\mathbf{}\mathbf{}\mathbf{}\mathit{m}\mathbf{/}\mathit{s}\mathbf{} \\ \mathit{t}\mathit{i}\mathit{m}\mathit{e}\mathbf{}\mathbf{}\mathit{t}\mathit{a}\mathit{k}\mathit{e}\mathit{n}\mathbf{,}\mathbf{}\mathbf{}\mathit{t}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{50}}{\mathbf{100}\mathbf{}\mathbf{\times }\mathbf{}\mathbf{10}}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{05}\mathbf{}\mathbf{}\mathit{s}\mathit{e}\mathit{c} \end{gathered}$$