$10\mathrm{.}10\mathrm{.}2$ A wave is traveling in a pipe of area S$1$ containing fluid of characteristic impedance p$1$c$1,$ A second pipe of area S$2$ and infinite length containing a fluid of characteristic impedance P$2$C$2$ is

attached to the end of this pipe. The two fluids are separated by means of a thin rubber diaphragm. $($a$)$ Derive the power transmission coefficient. $($b$)$ What is the condition for complete transmission?