17.A n open pipe resonates to a frequency f1 and a closed pipe resonates to a frequency f2.If they are joined together to form a longer tube,then it will resonate to a frequency of (neglect end corrections)

Open pipe f1= v2L1L1 = v2f1where L1is the length of the open pipeclosed pipef2 = v4L2L2 = v4f2total lengthL = L1+L2now it will act as the open pipef = v2Lf = v2L1+L2 = v2v2f1+v4f2= 11f1+1f2f = f1f2f1+f2

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