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Mechanical Properties Of Fluids

Question
CBSEENPH11018909

What will be the fundamental frequency of a note emitted by a closed pipe of length 34.8cm at 27°C. The velocity of sound at 0°C is 332 m/s.

Solution
The velocity of sound in air at 27°C is, 
straight v equals straight v subscript straight o square root of fraction numerator 273 plus 27 over denominator 273 end fraction end root 
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The length of pipe L = 34.8cm = 0.348m
The fundamental frequency of note emitted by one end closed pipe is, 
v equals fraction numerator straight v over denominator 4 straight L end fraction equals fraction numerator 348 over denominator 4 cross times 0.348 end fraction equals 250 Hz