A 1.5 m long pipe has one end open. What is the wavelength of the i o, the longe

Question

A 1.5 m long pipe has one end open. What is the wavelength of the i o, the longest wavelength among the possible standing-wave which generated in this pipe? The relation between the length of pipe L wn z) A 1.5 m l d the Compare the two equations above, we have Compare the two sides ofthis equation, we have (2-1) Therefore f-i-Qm-1) . f. where f" is the frequency of the ma standing wave. If 375 Hz. What is the s among the possible standing-waves f 225 Hz and ft fundamental frequency fi, and the sound speed v? (2-1) 225 [2m+)-1.5-375 Hint: with the data given, solve these two equations simultaneously to find out f Answer Hz me Speed of Sound-5

Explanation / Answer

fm = (2m-1)*f1 = 225

fm+1 = (2(m+1) -1)f1 =375

         = (2m+1)f1 = 375      

(2m+1)f1 - (2m-1)f1 =150

2f1 = 150 ,f1 = 75 , fundamental frequency

L = V/4f1 = 1.5m

V = 1.5*300 = 450 m/s

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