Question 13: A tube with both ends open has fundamental frequency of 300 Hz. The second...

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Question 13: A tube with both ends open has fundamental frequency of 300 Hz. The second harmonic of this tube and the third h

Answer 1

Answer #1

1) Open organ pipe - In an open organ pipe, the length of pipe, fundamental frequency and the 2nd harmonic can be given by

A feu A/2 Foe asound wave Tundamnental beany 300Hz CEiver 2nd haumonic = 2n,; %V * V

2) Closed organ pipe - Similarly for closed organ pipe -

Closed Pipe le-A/y Fon a uosed Harmenic 3nyc= 3Xy_ yivon 2narmonic 3rdHarmonic 3 V ec lo = 3X343 LoV0.S7Im - 0.4287CM

We compare the 2nd harmonic of the open and 3rd harmonic of the closed pipe and equate it to frequency using equaation 1.

Hence, we find the length of open pipe= 0.571m and closed pipe=0.42875m.

Answer 2

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