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Mechanical Properties Of Fluids

Question
CBSEENPH11018876

Write an expression for the fundamental frequency of a both end open pipe. What is the difference in the overtones emitted by one end closed pipe and both end open pipe?

Solution
For longitudnal vibrations in open end pipe, the fundamental frequency is given by, 
                  straight v equals straight n fraction numerator straight v over denominator 2 straight L end fraction equals fraction numerator straight n over denominator 2 straight L end fraction square root of γP over straight rho end root 
The difference in the overtones emitted by two pipes is that one end closed pipe emits only odd harmonics while both end open pipe emits both even and odd harmonics.