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The Fundamental frequency of a pipe closed at one end is in unison with the second overtone of anopen pipe.Calculate the ratio of the length of their air columns. Ignore the end correction. |
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Answer» SOLUTION :Pipe closed at one end : fundamental frequency`n_(C)= v/(4L_(c))` Pipe open at both ends : fundamental frequency `n_(0) = v/(2L_(0)) ` In this case, the frequency of the second overtone =` (3v)/(2L_(0))` By the data = `v/(4L_(c))= (3v)/(2L_(0)= L_(0)/L_(c)= ( 4xx 3)/2` ` L_(0)/L_(c) = 5 or L_c/L_o = 1/6 ` This is the REQUIRED RATIO. |
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