question_answer 52)

                  A steel wire has a length of 12 m and a mass of 2.10 kg. What will be the speed of a transverse wave on this wire when a tension of \[2.06\times {{10}^{4}}\,N\] is applied?

Answer:

                  Here, \[T=2.06\times {{10}^{4}}\,N\]                 \[\mu =\] mass/length \[=\frac{2.10\,kg}{12\,m}=0.175\,kg\,{{m}^{-1}}\]                 \[\therefore \] \[\mu =\,\sqrt{\frac{T}{\mu }}\,=\,\sqrt{\frac{2.06\,\times \,{{10}^{4}}}{0.175}}\,=\,343\,\,m{{s}^{-1}}\]