(Solved): (9\%) Problem 10: Elephants can create and detect infrasonic sounds-sounds of frequencies lower tha ...

(9\%) Problem 10: Elephants can create and detect infrasonic sounds-sounds of frequencies lower than Elephant Trunk Modeled as about $20\mathrm{Hz}$-which can travel long distances. They create these sounds using the cavity that extends from their larynx to the tip of their long trunk. Consider this cavity as a cylindrical air column, of length $4.66\mathrm{m}$, Cylindrical Air Column that is closed at the larynx and open at the tip of the trunk. A $33\%$ Part (a) Choose the image that shows the standing wave associated with the gas pressure for the first fundamental frequency $f_1$ produced in the air column. $\begin{array}{lc}\text{ Larynx }& \text{ Trunk tip }\\ \text{ (Closed End) }& \text{ (Open End) }\end{array}$ Part (b) Calculate the fundamental frequency of a standing wave in such an elephant's air column, in hertz. Take the speed of sound in air to be $352\mathrm{m}/\mathrm{s}$. A 33\% Part (c) With the same speed of sound as in part (b), $352\mathrm{m}/\mathrm{s}$, how long, in meters, would an elephant's air column have to be to maintain a standing wave at a fundamental frequency of $5.7\mathrm{Hz}$ ? (You might consider the likeliness of the occurrence of such a frequency in nature.)