Organ pipe A, with both ends open, has a fundemental frequencyof 425 Hz. The thi

Question

Organ pipe A, with both ends open, has a fundemental frequencyof 425 Hz. The third harmonic of organ pipe B, with one endopen, has the same frequency as the second harmonic of pipeA. Use 343m/s for the speed of sound in air. a. How long is pipe A? b. How long is pipe B? Organ pipe A, with both ends open, has a fundemental frequencyof 425 Hz. The third harmonic of organ pipe B, with one endopen, has the same frequency as the second harmonic of pipeA. Use 343m/s for the speed of sound in air. a. How long is pipe A? b. How long is pipe B?

Explanation / Answer

   Fundamental frequency of open pipe A, f = 425Hz

    Speed of sound , V = 343 m/s

(a)

   Second harmonic of open pipe A = ( V / La )

   But, second harmonic of open pipe A = 2 f

                                                  V / La = 2 * 425

         Length of theopen pipe, La = V / 900

                                                    =343 / 900

                                                   = 0.381 m = 38.1 cm

(b)

   Third harmonic of organ pipe B ( One end open ) =Second harmonic of pipe A

                               ( 3 V / 4 Lb ) = 900

            Lengthof pipe B, Lb = 0.2858 m = 28.58 cm

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