(Solved): (11\%) Problem 26: Consider standing waves in a pipe of length \( L=6.5 \mathrm{~m} \) containing ...

(11\%) Problem 26: Consider standing waves in a pipe of length \( L=6.5 \mathrm{~m} \) containing a column of air. The speed of sound in the columns is \( v_{s}=335 \mathrm{~m} / \mathrm{s} \). Each of the standing wave images provided may represent a case for which one or both ends are open. A 13\% Part (a) Select the image from the options provided showing the displacement of air particles for the third harmonic of a pipe with two open ends. Hivts: \( 0 \% \) deduction per hirt. Hirts remaining: 3 Feedback: deduction per fedibeck. 13\% Part (b) Calculate the wavelength \( \lambda_{3} \) in units of meters for the third harmonic in the pipe with two open ends. \( 13 \% \) Part (c) Calculate the frequency \( f_{I} \) in units of hertz for the fundamental harmonic in the pipe with two open ends. A 13\% Part (d) Select the image from the options provided showing the displacement of air particles for the third mode of a pipe with one open end and one closed end. (the third mode is the third possible excitation). ? 13\% Part (e) Calculate the frequency \( f_{I} \) in \( \mathrm{Hz} \) for the fundamental harmonic in the pipe with one open and one closed end. A 13\% Part (f) Select the image from the options provided showing the displacement of air particles for the third harmonic of a pipe with two closed ends. \( 13 \% \) Part (g) Calculate the frequency \( f_{l} \) in \( \mathrm{Hz} \) for the fundamental harmonic in the pipe with two closed ends. A 13\% Part (h) Choose the correct statement from the options below.