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An organ pipe is 114 cm long. What is the third audible harmonic if the pipe...

An organ pipe is 114 cm long. What is the third audible harmonic if the pipe is open at both ends? The speed of sound in air is 337 m/s.

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Answer #1

If both ends of the tube are uncovered or open, the musical instrument is said to contain an open-end air column.

Antinodes are present at the open end of the air column. In third harmonic there will will be 4 antinodes and 3 nodes.   In the pattern that there are one and one-half waves present in the length of the air column. One and one-half waves is three times the number of waves that were present in the first harmonic. For this reason, the frequency of the third harmonic is three times the frequency of the first harmonic.

Given is:-

length of the pipe = 114 cm or 1.14 m

the speed of the sound is = 337m/s

Thus

wavelength

Now frequency is

Hence the frequency of the third harmonic in the given open air cylinder is 447.36 Hertzs

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