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Consider a infinite string made by joining a semi-infinite string of density ρ1 (x < 0)...

Consider a infinite string made by joining a semi-infinite string of density ρ1 (x < 0) to another semi-infinite string of density 4ρ1 (x > 0) with the combination held under constant tension, T. A transverse sinusoidal wave of amplitude A(inc) and wavelength λ propagates to the right along the string of lower density towards the interface. (i) Find the amplitude and wavelength of the wave when it is travelling along the heavier string. What fraction of the time-averaged energy flux is transmitted at the boundary between the strings?

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