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Four pieces of string of length L are jo...

Four pieces of string of length L are joined end to end to make a long string of length 4L. The linear mass density of the strings are `mu,4mu,9mu and 16mu`, respectively. One end of the combined string is tied to a fixed support and a transverse wave has been generated at the other end having frequency `f` (ignore any reflection and absorption). string has been stretched under a tension `F`.

Find the time taken by wave to reach from source end to fixed end.

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Four pieces of string of length L are joined end to end to make a long string of length 4L. The linear mass density of the strings are mu,4mu,9mu and 16mu , respectively. One end of the combined string is tied to a fixed support and a transverse wave has been generated at the other end having frequency f (ignore any reflection and absorption). string has been stretched under a tension F . Find the ratio of wavelength of the wave on four string, starting from right hand side.

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Three pieces of string, each of length L, are joined together end-to-end, to make a combined string of length 3L. The first piece of string has mass per unit length mu_1 , the second piece has mass per unit length mu_2 = 4mu_1 and the third piece has mass per unit length mu_3 = mu_1//4 . (a) If the combined string is under tension F, how much time does it take a transverse wave to travel the entire length 3L? Give your answer in terms of L,F and mu_1 . (b) Does your answer to part (a) depend on the order in which the three piece are joined together? Explain.