Chapter 13. Wavelengths for a standing sound wave in a closed pipe (13-21)

Question

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{"title":"Length of a string held at both ends","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"1,15,16,39\"}]"} {"title":"Wavelength of a standing wave in the pipe","description":"Wrong","type":"incorrect","color":"#993300","code":"[{\"shape\":\"rect\",\"coords\":\"58,2,71,22\"}]"}

Question

O7AEotHEsYqGqKRds3IcFv0aAEM6l7qUbKIL5X43GTP+PH3FVf2KOB1d44WCtfDX
{"title":"Length of a string held at both ends","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"1,15,16,39\"}]"} {"title":"Wavelength of a standing wave in the pipe","description":"Correct!","type":"correct","color":"#993300","code":"[{\"shape\":\"rect\",\"coords\":\"58,2,71,22\"}]"}

Review

Figures 13-18b and 13-18c show the next two standing wave modes of a closed pipe, and Figure 13-19 shows the displacement patterns extended outside the pipe. You can see that three quarters (3/4) and five quarters (5/4) of a wavelength, respectively, fit into the pipe for these modes. You can also see that the general relationship between \(L\) and \(\lambda\) for a closed pipe is