From Recitation $11$

Problem $10$: Most pipes in an organ are closed at one end and open at the other as shown in the figure.

$($a$)$ Is the wave in the organ pipe a traveling or standing wave?

$($b$)$ Write the wavelength of the fundamental oscillation in terms of the pipe length.

$($c$)$ If the speed of sound in air is $344\frac{m}{s},$ what is the frequency of the tone produced by this pipe?

$($d$)$ What happens to the fundamental wavelength if the temperature rises?

$($e$)$ How about the frequency if the temperature rises?

$($f$)$ Unlike an organ pipe, a flute is an open$-$ended instrument. What is the fundamental wavele terms of the flute's length, L$?$ Sketch the standing wave inside the flute pipe.