QUESTION $1$:

A piston creates acoustic plane waves inside the tube shown on the left. The mass of the piston can be ignored and the tube is terminated to open air with an infinite baffle as shown.

a$.$ What is the first acoustic natural frequency of the system? $(\backslash (\backslash$mathbf$\{164.5\}\backslash$mathbf$\{$~ H z$\}\backslash ))$

b$.$ As the piston is vibrating at the first acoustic natural frequency if the amplitude of the piston displacement is $0\mathrm{.}01$ m $,$ what is the acoustic power inside the tube? $(1\mathrm{.}9$ W $)$

c$.$ What is the power radiated outside the tube? $(\backslash (\backslash$mathbf$\{0.085\backslash$mathbf $\{$ W $\})\}\backslash )$